We provide lines and angles practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on lines and angles skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of lines and angles Questions

Question No | Questions | Class |
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1 | n figure, ( A B, C D ) and ( E F ) are three parallel lines. If ( 4 y=5 x ) and ( z=y-30 ) find ( angle q ) ( A cdot 120 ) В. ( 110^{circ} ) ( c cdot 100 ) D. 90 | 7 |

2 | In the given figure two lines ( A B ) and ( C D ) intersect at ( O . O E ) is any ray such that ( angle B O E=80^{circ} . ) If ( angle B O D=30^{circ} ) then the find ( angle E O C ) | 9 |

3 | Find the complement of the angle : ( frac{1}{4} ) of a right angle ( mathbf{A} cdot 67 cdot 5^{circ} ) B ( .57 cdot 5^{circ} ) ( mathbf{c} cdot 37 cdot 5^{circ} ) D. none of the above | 7 |

4 | Find the supplement of the following angle ( mathbf{1 2 0}^{circ} ) | 7 |

5 | State true or false: If angles forming a linear pair are of equal measure, then each of these angles is of measure ( 90^{circ} ) A. True B. False | 9 |

6 | Show that difference of any two sides of a triangle is less than to the third side. | 9 |

7 | An angle is ( 14^{circ} ) more than its complementary angle, then angle is: ( A cdot 38^{circ} ) B. ( 52^{circ} ) ( c .50^{circ} ) D. none of these | 7 |

8 | If ( A, B ) are complementary angles, then ( cos ^{2} A+cos ^{2} B ) | 7 |

9 | Find the angle which is supplementary of itself | 7 |

10 | In the given figure, ( p | q ) and ( r | s . ) Find the values of ( x, y ) and ( z ) | 7 |

11 | Find the angle which is ( 56^{circ} ) more than its complement A . 73 B. 83 c. 45 D. 68 | 7 |

12 | If the given figure, AB II CD. then ( B P O+P O Q+D Q O ) is 4 3.90 ( c cdot 180 ) D. ( 360^{circ} ) | 7 |

13 | Fill in the blanks so as to make the following statements true: A ray stands on a line, then the sum of the two adjacent angles so formed is | 9 |

14 | In the given figure, ( angle theta ) is less than one- third of a right angle, then: A ( cdot phi>150^{circ} ) B ( cdot phi geq 150^{circ} ) c. ( phi leq 150^{circ} ) D. ( phi<150^{circ} ) | 9 |

15 | If the sides of a triangle are produced, then the sum of the exterior angle i.e. ( angle a+angle b+angle c ) is equal to A ( .180^{circ} ) В. ( 360^{circ} ) ( c cdot 90^{0} ) D. ( 270^{circ} ) | 9 |

16 | If ( P Q ) and ( R S ) intersect at point ( T, ) such that ( angle P R T=40^{circ}, angle R P T=95^{circ} ) and ( angle T S Q=75^{circ} . ) Find ( angle S Q T ) | 9 |

17 | In the adjoining figure, the arms of two angels are parallel, if ( angle A B C=70^{circ}, ) find ( (i) angle D G C(i i) angle D E F ) | 7 |

18 | The straight lines ( A B ) and ( C D ) intersect at ( E . ) If ( E F ) and ( E G ) are bisectors of ( angle D E A ) and ( angle A E C ) respectively and if ( angle A E F=x ) and ( angle A E G=y, ) then A ( cdot x+y>90^{circ} ) В . ( x+y<90^{circ} ) c. ( x+y=90^{circ} ) D. ( x+y=180^{circ} ) | 7 |

19 | Which two angles are supplementary? A. ( angle C O F ) and ( angle A O C ) B. ( angle C O F ) and ( angle C O E ) ( mathrm{c} . angle mathrm{COF} ) and ( angle E O D ) D. ( angle C O F ) and ( angle A O E ) | 7 |

20 | In the given figure, ( A B | C D ) and ( boldsymbol{E F} perp boldsymbol{C D} ) and ( angle boldsymbol{G} boldsymbol{E C}=mathbf{1 3 2}^{boldsymbol{o}} . ) Find ( angle boldsymbol{E} boldsymbol{G} boldsymbol{F} ) A ( cdot 43^{circ} ) B. ( 42^{circ} ) ( c cdot 48 ) ( D cdot 44^{circ} ) | 7 |

21 | 53. In a A ABC, if ZA = 120° and AB = AC, then ZB is equal to (1) 35° (2) 60° (3) 30° (4) 80° | 9 |

22 | State True or False. figure, ( angle P Q R=angle P R Q ), then ( angle P Q S=angle P R T ) 4. True 3 falss | 9 |

23 | The angle that is three times as large as its complement is: ( mathbf{A} cdot 135 ) в. 67.5 ( c cdot 50.5 ) D. 45 | 7 |

24 | Measure of ( angle A ) in triangle ( Delta A B C ) is ( A cdot 30^{circ} ) B. ( 15^{circ} ) ( c cdot 20^{circ} ) D. ( 180^{circ} ) | 9 |

25 | In the figure, ( Delta P Q R ) is a right angled at ( mathrm{Q}, bar{M} L | bar{R} Q ) and ( angle L M R=130^{circ} . ) Find ( angle L P M ) and ( angle P M L ) | 9 |

26 | Calculate the followings. An angle is equal to one third of its supplement. Find its measure. 2 If an angle is ( 30^{circ} ) more than one half of its complement, find the measure of the angle. | 9 |

27 | Mark the correct alternative of the following. The angles of a triangle are in the ratio ( 2: 3: 7 . ) The measure of the largest angle is? ( A cdot 84^{circ} ) B. ( 91^{circ} ) ( c cdot 105 ) D. ( 98^{circ} ) | 9 |

28 | In. triangle ( A B C, angle A+angle B=144 ) and ( angle A+ ) ( angle C=124 ) Calculate smallest angle of the triangle. ( A cdot 36^{circ} ) B. ( 56^{circ} ) ( c cdot 46^{circ} ) D. none of these | 9 |

29 | Find the values of the unknown ( x ) and ( y ) in the following diagram | 9 |

30 | If two supplementary angles are in the ratio ( 4: 5, ) then the angles are A. ( 80^{circ}, 100^{circ} ) в. ( 85^{circ}, 95^{circ} ) c. ( 40^{circ}, 50^{circ} ) D. ( 60^{circ}, 120^{circ} ) | 7 |

31 | In the adjoining figure, identify the pair of alternate interior angles. | 9 |

32 | Find ( frac{boldsymbol{x}+boldsymbol{u}+boldsymbol{y}+boldsymbol{z}}{mathbf{5 0}} ) | 9 |

33 | n ( Delta P Q R S ) is a point on ( P Q ) such that ( mathrm{SR}=mathrm{QR}=mathrm{SP} . ) and ( angle P S R=120^{circ} . ) Find ( angle P ) | 9 |

34 | In figure, write down each pair of vertically opposite angles | 9 |

35 | If two intersecting lines are intersected by a transversal, then corresponding angles are equal. A. True B. False c. Ambiguous D. Data Insufficient | 7 |

36 | n figure, OA and OB are opposite rays if ( x=25^{circ}, ) what is the value of ( y ? ) | 9 |

37 | If an angle is eight times its complementary angle, then the measurement of the angle is: A ( .90^{circ} ) B . 20 ( c .80 ) D. 160 | 7 |

38 | In a right triangle the two acute angles are in the ratio ( 7: 11 . ) Find the measure of acute angles. | 9 |

39 | f ( boldsymbol{P Q perp P S}, boldsymbol{P Q} | boldsymbol{S R}, angle boldsymbol{S O R}=mathbf{2 8}^{boldsymbol{o}} ) and ( angle Q R T=65^{circ}, ) then find ( x & y ) | 9 |

40 | Indicate which pairs of angles are: Vertically opposite angles. ( A cdot 184 ) ( B cdot 2 & 4 ) ( c cdot 1 & 3 ) ( D cdot 5 & 4 ) | 9 |

41 | In the below figure ( A B, C D ) and ( E F ) are three lines concurrent at ( O ). Find the value of ( y ) | 7 |

42 | In given figure find ( x ) ( mathbf{A} cdot 110^{0} ) ( mathbf{B} cdot 120^{0} ) ( mathbf{c} cdot 130^{circ} ) D. ( 140^{circ} ) | 9 |

43 | Find the measure of an angle, if four times of its complement is ( 12^{circ} ) more than twice the difference between its supplement and complement. A . 36 B . 45 c. 42 D. 24 | 7 |

44 | Two supplementary angles are in the ratio ( 5: 7 . ) Find the smallest angle. [ begin{array}{l} 1^{s t} text { angle }=frac{5}{12} times 180^{circ} text { and } \ 2^{n d} text { angles }=frac{7}{12} times 180^{circ} end{array} ] ( mathbf{A} cdot 80 ) B. 75 c. 65 D. 90 | 7 |

45 | 61. The angle in a semi-circle is (1) a reflex angle (2) an obtuse angle (3) an acute angle (4) a right angle | 7 |

46 | What is the value of ( a-b ) A ( cdot 180^{circ} ) B ( .60^{circ} ) ( c cdot 70^{circ} ) ( D cdot 120 ) | 9 |

47 | Angles forming a linear pair can both be acute angles. A. True B. False c. Ambiguous D. Data Insufficient | 9 |

48 | Define adjacent angle. | 9 |

49 | Find ( x, y, z ) | 9 |

50 | In the adjacent figure, ABC is a triangle in which ( angle B=50^{circ} ) and ( angle C=70^{circ} ) Sides ( A B ) and ( A C ) are produced. If ‘ ( z^{prime} ) is the measure of the angle between the bisectors of the exterior angles of formed, then find ‘z’. | 9 |

51 | In a ( triangle A B C, angle A-angle B=30^{circ} ) and ( angle B- ) ( angle C=42^{circ} ; ) find ( angle A ) A ( cdot 84^{circ} ) B. ( 94^{circ} ) ( c cdot 32^{0} ) D. none of the above | 9 |

52 | Write all pairs of angles of linear pair. | 9 |

53 | Write the complement (in degree) of each of the following angles: ( 30^{circ} ) | 7 |

54 | Find the value of unknown ( x ) in the following diagram. | 9 |

55 | Find the complementary of the angle ( mathbf{3 0}^{circ} ) | 7 |

56 | Find the value of the unknown interior angle ( x ) in the following figure. | 9 |

57 | Consider the following statements: When two straight lines intersect, (i) adjacent angles are complementary (ii) adjacent angles are supplementary (iii) opposite angles are equal (iv) opposite angles are supplementary ( A cdot ) (i) and (iii) B. (ii) and (iii) c. (i) and (iv) D. (ii) and (iv) | 7 |

58 | Two parallel lines ( l ) and ( m ) are cut by a transversal ( t . ) If the interior angles of the same side of ( t ) are ( (2 x-8)^{circ} ) and ( (3 x- ) 7)( ^{circ}, ) find the measure of each of these angles. | 9 |

59 | The angle between the internal bisector and the external bisector of an angle is: ( mathbf{A} cdot 60 ) B. 90 ( c cdot 120 ) D. 135 | 7 |

60 | In the following figure, ( A B C D ) and PORS are two parallelograms such that ( angle D=120^{circ} ) and ( angle Q=70^{circ} . ) Find the value of ( boldsymbol{x} ) | 9 |

61 | State True or False From the following figure, we can say: ( angle A C D=angle C B E ) ( 4 . ) True 3. Falss | 9 |

62 | In the figure, if ( angle B O C=7 x+20^{circ} ) and ( angle C O A=3 x, ) then the value of ( x ) for which ( A O B ) becomes a straight line is: ( 4 cdot 16^{circ} ) B. 14 ( c cdot 20 ) D. ( 21^{circ} ) | 7 |

63 | n given figure the value of ( x ) is : ( mathbf{A} cdot 120^{circ} ) B. ( 110^{circ} ) ( c cdot 80^{c} ) D. ( 100^{circ} ) | 9 |

64 | In Fig. sides ( P Q ) and ( R Q ) of ( Delta P Q R ) are produced to points ( S ) and ( T ) respectively. If ( angle S P R=135^{circ} a ) and ( angle P Q T=110^{circ} . ) Find ( angle P R Q ) | 9 |

65 | How many pair of vertically opposite angles are formed? | 9 |

66 | Find the value of ( x ) | 9 |

67 | From the given figure, find : ( angle A C B ) ( mathbf{A} cdot 70^{circ} ) B. ( 80^{circ} ) ( c cdot 75^{circ} ) D. none of the above | 9 |

68 | Find the measure of the complementary angle of each of ( 20^{circ} ) ( mathbf{A} cdot 50^{circ} ) B. ( 70^{circ} ) ( c cdot 160^{circ} ) D. ( 80^{circ} ) | 7 |

69 | If two supplementary angles have equal measure, what is the measure of each angle? | 7 |

70 | Two adjacent angles whose sum is ( 180^{circ} ) is called A. complementary angles B. linear pair c. vertically opposite angles D. none | 9 |

71 | Identify the following pairs of angles are complementary or supplementary: ( 80^{circ}, 10^{circ} ) | 7 |

72 | If two parallel lines are intersected by a transversal, then prove that bisectors of the interior angles from a rectangle. | 9 |

73 | 14. Find the measure of an angle if seven times its complement is 10° less than three times its supplement. | 7 |

74 | If one angle of a triangle is ( frac{pi}{4} ) and other angle is ( 90^{circ} ) then find the third angle in degree measure. | 7 |

75 | n figure, find the values of ( x, y ) and ( z ) ( mathbf{A} cdot x=155^{circ} ) B . ( y=25^{circ} ) ( mathbf{c} cdot z=155^{circ} ) D. All of these | 9 |

76 | In the given figure, ( A B C ) is a triangle, side ( mathrm{CB} ) is produced to ( mathrm{E} ) and ( angle boldsymbol{A}: angle boldsymbol{B} ) ( angle C=2: 1: 3 . ) Find ( angle D B E, ) if DB is perpendicular to AB. A ( cdot 66^{circ} ) B . ( 46^{circ} ) ( c cdot 60^{circ} ) D. none of the above | 9 |

77 | In the Fig. lines ( P Q ) and RS intersect each other at point ( 0 . ) If ( angle P O R ) ( angle R O Q=5: 7, ) Find all the angles | 9 |

78 | From the following figure, can we say that ( boldsymbol{A B}>boldsymbol{C D} ) If true then enter 1 else enter 0 . | 9 |

79 | Find the angles in a straight line | 9 |

80 | A transversal intersects two parallel lines. if the measure of one of the angle is ( 50^{0} ), then the measure of its corresponding angle is A ( cdot 40^{circ} ) B. ( 130^{circ} ) ( c cdot 180^{circ} ) D. ( 50^{circ} ) | 9 |

81 | Find the value of the unknown interior angle ( x ) in the following figure. | 9 |

82 | ( Delta A B C ) is a right angled at ( A, ) the value of ( tan B times tan C ) is: ( A cdot O ) B. ( c cdot-1 ) D. None of the above | 9 |

83 | In the figure ( l / / m ) and ( p ) is a transversal, find the value of ( x, ) giving necessary reasons. | 9 |

84 | In figure,prove AB ( | mathrm{EF} ) | 7 |

85 | In figure, ( A, B, C ) are collinear points. Name two linear pairs. | 9 |

86 | Prove that the sum of angles of a triangle is 180 | 9 |

87 | Find ( x ) in the following figure ( (A B | C D) ) | 9 |

88 | In figure, lines ( X Y ) and ( M N ) intersect at 0 If ( angle P O Y=90^{circ} ) and ( a: b=2: 3, ) find ( c ) ( 4 cdot 106 ) B. ( 156^{circ} ) ( c cdot 126^{circ} ) D. 136 | 9 |

89 | ( angle A ) and ( angle B ) are supplementary angles. ( angle A=x+10^{circ} ) and ( angle B=x-10^{circ}, ) find ( angle A ) and ( angle B ) | 7 |

90 | Find the values of the unknown ( x ) and ( y ) in the following diagram | 9 |

91 | Find the complementary angle of ( 60^{circ} ) | 7 |

92 | Find the complement of each of the following angles: | 7 |

93 | Two complementary angles differ by ( 10^{circ} ) Find the angles | 7 |

94 | In figure, ( angle P O R=a^{circ} ) and ( angle Q O R=b^{circ} ) If ( a^{circ}-b^{circ}=60^{circ} . ) Find angle ( a^{circ} ) and ( b^{circ} ) A ( . angle a=70^{circ}, angle b=110^{circ} ) В. ( angle a=90^{circ}, angle b=90^{circ} ) C . ( angle a=120^{circ}, angle b=60^{circ} ) D. ( angle a=60^{circ}, angle b=120^{circ} ) | 7 |

95 | By simply looking at the pair of angles given in figure. State which of the angle in the pairs is greater. | 9 |

96 | Write the supplement of each of the following angles: ( 138^{circ} ) | 7 |

97 | Find the angle, if its complement is one- fourth of its supplement. | 7 |

98 | p and q are straight lines. If ( angle a= ) ( angle boldsymbol{b}=angle boldsymbol{c}=angle boldsymbol{d}, ) find ( angle boldsymbol{a} ) ( mathbf{A} cdot 97^{circ} ) B ( .49 .5^{circ} ) ( mathbf{c} cdot 19.4^{circ} ) D ( .24 .25^{circ} ) | 9 |

99 | n Fig. if ( boldsymbol{A B} | boldsymbol{D} boldsymbol{E}, angle boldsymbol{B A C}=mathbf{3 5}^{circ} ) and angleC ( D E=53^{circ}, ) find ( angle D C E ) | 9 |

100 | If true then enter 1 and if false then enter 0 Can two acute angles form a linear pair? | 9 |

101 | In the figure if ( B D | E F ), then ( angle C E F ) is: ( A cdot 100^{circ} ) B. 120 ( c cdot 140 ) D. 160 | 7 |

102 | n fig. ( 1, ) AOB is a straight line, the value of ( x ) is : ( A cdot 60 ) B. 30 ( c cdot 20 ) ( D ) | 7 |

103 | n the figure ( angle boldsymbol{P}+angle boldsymbol{Q}+angle boldsymbol{R}+angle boldsymbol{S}+ ) ( angle boldsymbol{T}=boldsymbol{2} ) right angles ( 4 . ) True 3. Falss | 9 |

104 | Find ( x ) in the following figures: | 9 |

105 | The measure of angle ( y ) in the given figure is A. ( angle y=65^{circ} ) B . ( angle y=85^{circ} ) c. ( angle y=75^{circ} ) D. ( angle y=80^{circ} ) | 9 |

106 | Find the measure of the supplementary angle of ( 54^{circ} ) A ( cdot 26^{circ} ) B . ( 126^{circ} ) ( c cdot 34^{circ} ) D. ( 134^{circ} ) | 7 |

107 | ( f l | boldsymbol{m} ) and ( boldsymbol{p} | boldsymbol{q}, ) find ( boldsymbol{a}, boldsymbol{b}, boldsymbol{c}, boldsymbol{d} ) | 9 |

108 | State true or false. The sum of interior angles of a triangle is ( 180^{circ} ) A. True B. False | 9 |

109 | All linear pairs are A. Supplementary B. vertically opposite C . right angles D. none | 9 |

110 | Which of the following form the three angles of a triangle. ( boldsymbol{a})left{boldsymbol{9} boldsymbol{0}^{boldsymbol{o}}, boldsymbol{3} boldsymbol{0}^{boldsymbol{o}}, boldsymbol{5} boldsymbol{0}^{boldsymbol{o}}right} ) ( b)left{40^{circ}, 40^{circ}, 100^{circ}right} ) (5)( left{50^{circ}, 60^{circ}, 70^{circ}right} ) ( boldsymbol{d})left{20^{circ}, 30^{circ}, 40^{circ}right} ) A ( . d ) and ( c ) B. ( b ) and ( c ) c. ( a ) and ( c ) D. ( a ) and ( d ) | 9 |

111 | Lines ( mathrm{PQ} ) and ( mathrm{RS} ) intersect at ( mathrm{O} ). If ( angle P O S=2 angle S O Q, ) then the four angles at 0 are: A ( cdot 30^{circ}, 30^{circ}, 120^{circ}, 180^{circ} ) B . ( 60^{circ}, 60^{circ}, 120^{circ}, 120^{circ} ) c. ( 60^{circ}, 90^{circ}, 90^{circ}, 120^{circ} ) D. ( 30^{circ}, 60^{circ}, 90^{circ}, 180^{circ} ) | 9 |

112 | n tne Tlgure (IIVIAGE (a) ( operatorname{Is} angle 1 ) adjacent to ( angle 2 ? ) (b) ( operatorname{ls} angle A O C ) adjacent to ( angle A O E ) ? (c) Do ( angle C O E ) and ( angle E O D ) from linear pair? (d) Are ( angle B O D ) and ( angle D O A ) supplementary? (e) is ( angle 1 ) vertically opposite to ( angle 4 ? ) (f) What is the vertically opposite angle of ( angle 5 ? ) | 9 |

113 | How many pairs of vertically opposite angles are formed? | 9 |

114 | The angles of a triangle are in the ratio 2: 1: 3. Is the triangle right-angled triangle, A. True B. False | 9 |

115 | With respect to the figure, write all pairs of adjacent angles and all the linear pairs. This question has multiple correct options A. Adjacent angles: ( angle A O D & angle C O D ) B. Adjacent angles: ( angle B O C & angle C O D ) C. Linear pairs: ( angle A O D & angle B O D ) D. Linear pairs: ( angle A O C & angle B O C ) | 9 |

116 | n figure, ( x: y: z=5: 4: 6 . ) If ( x ) OY is a straight line then the values of ( x, y ) and ( z ) are This question has multiple correct options A . ( x=60^{circ} ) В . ( y=48^{circ} ) ( mathbf{c} . z=72^{circ} ) | 7 |

117 | Mark the correct alternative of the following. n figure, ( A B|| C D ) and ( E F ) is a transversal intersecting ( A B ) and ( C D ) at ( P ) and ( Q ) respectively. The measure of ( angle D Q P ) is? ( A cdot 65 ) В. 25 ( c .115 ) 0.105 | 9 |

118 | Find the value of ( x ) | 7 |

119 | n the figure, ( l | boldsymbol{m} ) and ( boldsymbol{n} | boldsymbol{p} ). If ( angle mathbf{1}=mathbf{6 0}^{circ} ) then ( angle 2=3 times angle 1 ) 4 . True 3. False | 9 |

120 | The pair of complementary angles from the following options are: A . ( 30^{circ}, 150^{circ} ) В. ( 76^{circ}, 14^{circ} ) ( mathbf{c} cdot 65^{circ}, 65^{circ} ) D. ( 120^{circ}, 30^{circ} ) | 7 |

121 | Which of the following pair of angles is equal if ( boldsymbol{m} | boldsymbol{n} ? ) A. ( angle 1 ) and ( angle 4 ) B. ( angle 3 ) and ( angle 4 ) ( c . angle 4 ) and ( angle 8 ) D. ( angle 6 ) and ( angle 8 ) | 9 |

122 | Find the supplementary angle of ( 40^{circ} ) | 7 |

123 | n figure, line ( n ) is a transversal to lines ( l ) and ( m . ) Identify the following angles alternate to ( angle d ) and ( angle g ) and angles corresponding to angles ( angle f ) and ( angle h ) in figure | 9 |

124 | what is the measure of complementary angle of ( 20^{circ} ) | 7 |

125 | In the given figure three lines ( overrightarrow{A B}, overrightarrow{C D} ) and ( widehat{E F} ) intersecting at ( 0 . ) Find the values of ( x, y ) and ( z ) it is being given that ( boldsymbol{x}: boldsymbol{y}: boldsymbol{z}=boldsymbol{2}: boldsymbol{3}: boldsymbol{5} ) | 9 |

126 | 57. In the given figure, AOB is a straight line. If ZAOC=(3x-10)”, 2COD =50° and ZBOD = (x + 20)°, then ZAOC = ? 509 A (1) 40° (3) 80 (2) 60° (4) 50° | 7 |

127 | In the adjoining figure, name the following pairs of angles. Obstuse vertically opposite angles | 9 |

128 | The angles are complementary and the larger is four times the smaller. | 7 |

129 | n figure, lines ( l_{1} ) and ( l_{2} ) intersect at ( O ) forming angles as shown in the figure. I ( x=45^{circ}, ) find the values of ( y, z ) and ( u ) | 9 |

130 | An angle is two-thirds of its supplementary angle. Find the angle. | 7 |

131 | ( ln Delta A B C, ) if ( angle A+angle B=90^{circ}, cot B= ) ( frac{3}{4}, ) then the value of ( tan A ) is : A ( cdot frac{4}{5} ) в. ( frac{3}{4} ) ( c cdot frac{4}{3} ) D. ( frac{3}{5} ) | 9 |

132 | If two angles are complementary of each other, then each angle is: A. an obtuse angle B. a right angle c. an acute angle D. a supplementary angle | 7 |

133 | Compute the value of ( x ) in each of the following figures | 9 |

134 | ( ln Delta A B C, angle C=90^{circ}, ) then the value of ( cos ^{2} A+cos ^{2} B ) is : ( mathbf{A} cdot mathbf{1} ) B. 0 ( c cdot frac{1}{2} ) D. ( frac{sqrt{3}}{2} ) | 9 |

135 | 70. What will be the value of interior angle (in degrees and in radians) of a pentagon with equal sides? (1) 135° or (2) 108° (or (3) 90° (or T) (4) 120º (or | 9 |

136 | Find the value of unknown ( x ) in the following diagram. | 9 |

137 | In the figure, ( angle boldsymbol{E} boldsymbol{F B}=mathbf{6 6}^{circ}, angle boldsymbol{B F O}= ) ( 43^{circ}, angle O G F=23^{circ}, angle O G D=y . ) Find the value of ( y ) | 7 |

138 | Two complementary angles are in the ratio ( 4: 5 . ) Find the angles. | 9 |

139 | Calculate x. (Similar arrow markings show parallel lines). ( A cdot 102 ) 3.56 ( c_{1}+a_{4} ) ( D ) | 7 |

140 | ( X ) is any point inside a ( triangle D E F ) and is joined to all vertices. From point ( boldsymbol{P} ) on ( D X, P Q | D E ) is drawn which meets ( boldsymbol{E} boldsymbol{X} ) at ( boldsymbol{Q} ) and from ( boldsymbol{Q}, boldsymbol{Q} boldsymbol{R} | boldsymbol{E} boldsymbol{F} ) is drawn which meets ( X F ) at ( R ) Prove that ( boldsymbol{P R} | boldsymbol{D} boldsymbol{F} ) | 7 |

141 | In the adjacent figure ( mathrm{PQ} ) and ( mathrm{RS} ) are two mirrors placed parallel to each other. An incident ray ( overrightarrow{A B} ) strikes the mirror ( mathrm{PQ} ) at B, the reflected ray moves along the path ( overrightarrow{B C} ) and strikes the mirror RS at ( C ) and again reflected back along ( overrightarrow{C D} ) Prove that AB II CD. | 9 |

142 | Can two acute angles form a linear pair? | 9 |

143 | Ray ( P Q ) and ray ( P R ) are perpendicular to each other. Points ( B ) and ( A ) are in the interior and exterior of ( angle Q P R ) respectively. Ray ( P B ) and ray ( P A ) are perpendicular to each other. Draw a figure all this rays and write-A pair of complementary angles A pair of supplementary anglesA pair of congruent angles. | 9 |

144 | ( overrightarrow{D C} perp overline{A B}, ) then ( angle C D B ) is equal to: A ( .180^{circ} ) B . ( 45^{circ} ) ( c cdot 90 ) D. 120 | 9 |

145 | An angle is equal to one-third of its supplement. Find its measure. 1. Sol. | 7 |

146 | In figure, write all pairs of adjacent angles and all the linear pairs. | 9 |

147 | an angle is ( 28^{circ} ) less than its complement, find its measure. | 7 |

148 | Measure of one angle of linear pair is given. Find the measure of another angle: ( mathbf{5 0}^{circ} ) | 9 |

149 | State true or false: If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are supplementary A. True B. False | 7 |

150 | In the figure above, three lines intersect at a point. If ( boldsymbol{f}=mathbf{8 5}^{boldsymbol{o}} ) and ( boldsymbol{c}=mathbf{2 5}^{boldsymbol{o}}, ) what is the value of ( a ? ) Note : Figure not drawn to scale A ( cdot 60^{circ} ) B. ( 65^{circ} ) ( c cdot 70^{circ} ) D. ( 75^{circ} ) | 9 |

151 | In the figure given, ( A B ) is a mirror, ( P Q ) is the incident ray and ( Q R ), the reflected ray. If ( angle mathrm{PQR}=112^{circ}, ) find ( angle mathrm{PQA} ) | 7 |

152 | If the complement of an angle is ( 27^{circ} ) then find its supplement. | 7 |

153 | An exterior angle of a triangle is equal to the sum of two ( _{text {一一一一一一 }} ) opposite angles. A. interior B. exterior c. vertical D. none of these | 9 |

154 | Given : AB || CD. If ( angle 4 ) is an obtuse angle, then ( angle 5 ) is A . Acute B. Right c. obtuse D. Straight | 9 |

155 | Find the measure of an angle which measures same as its complement | 7 |

156 | Find the complement of the following angle. ( 45^{circ} ) | 7 |

157 | Find the value of ( x ) in the following figure. | 9 |

158 | In a right angled triangle, if one of the other two angles is ( 35^{circ} ), find the remaining angle. | 9 |

159 | In the figure, if lines ( P Q ) and ( R S ) intersect at point ( T, ) such that ( angle P R T=40^{circ}, angle R P T=95^{circ} ) and ( angle T S Q=75^{circ}, ) find ( angle S Q T ) | 9 |

160 | Calculate the value of ( boldsymbol{x} ) | 7 |

161 | ( P ) is any point inside the triangle ( A B C ) Hence ( angle B P C>angle B A C ) A. True B. False c. Ambiguous D. Data insufficient | 9 |

162 | n figure, find the values of ( x, y ) and ( z ) | 9 |

163 | Two lines intersecting each other, prove that vertically opposite angles are equal. | 9 |

164 | Find the angles in each of the following: The angles are complementary and the smaller is ( 40^{circ} ) less than the larger. | 7 |

165 | In the given figure, line ( l | ) line ( m ), line is a transversal. Write one pair of corresponding angles and one pair of alternate interior angles. | 9 |

166 | The complement of ( left(90^{circ}-aright) ) is : A . – B. ( left(90^{circ}+aright) ) C. ( left(90^{circ}-aright) ) D. | 7 |

167 | In the given Figure, ( A B C ) is a straight line what is the value of ( z ? ) ( mathbf{A} cdot 112^{circ} ) B. ( 92^{circ} ) c. ( 132^{circ} ) D. ( 106^{circ} ) | 9 |

168 | Write the measure of supplementary angle of the given angles: ( mathbf{6 0}^{circ} ) | 7 |

169 | Find the value of ( x ? ) | 9 |

170 | The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. | 7 |

171 | If the angle ( x ) and ( y ) are equal, then find the value of ( x ) and ( y ) ( mathbf{A} cdot x=y=55^{circ} ) ( mathbf{B} cdot x=y=45^{circ} ) ( mathbf{C} cdot x=y=60^{circ} ) D ( . x=y=90^{circ} ) | 7 |

172 | If one angle of a triangle is equal to the sum of the other two angles, then the triangle is A. an isosceles triangle B. an obtuse triangle c. an equilateral triangle D. a right triangle | 9 |

173 | An angle is ( 45^{circ} ) less than two times of its supplement, then the greater angle is A ( .75^{circ} ) B . ( 100^{circ} ) ( c cdot 120^{circ} ) D. ( 105^{circ} ) | 7 |

174 | Find the value of ( x, y ) and ( z ) in the figure. ( mathbf{A} cdot x=60^{circ}, y=120^{circ}, z=60^{circ} ) B ( cdot x=60^{circ}, y=60^{circ}, z=120^{circ} ) ( mathbf{C} cdot x=120^{circ}, y=60^{circ}, z=60^{circ} ) D ( cdot x=70^{circ}, y=100^{circ}, z=70^{circ} ) | 9 |

175 | n figure, sides QP and RQ of ( Delta P Q R ) are produced to points ( mathrm{S} ) and ( mathrm{T} ) respectively If ( angle S P R=135^{circ} ) and ( angle P Q T=110^{circ} ) find ( angle P R Q ) 4.85 3.65 ( c cdot 45 ) 0.35 | 9 |

176 | Based on the given figure, which of the following statements is true? A. ( angle 5 ) and ( angle 7 ) are supplementary angles. B ( . angle 7=55^{circ} ) C. ( angle 8 ) and ( angle 1 ) are corresponding angles. D. ( angle 4 ) and ( angle 5 ) are alternate angles. | 9 |

177 | n the figure ( angle B A C=75^{circ}, angle A B C= ) ( 35^{circ} . ) Find the measures of ( angle B A Z ) | 9 |

178 | Show that if a straight line is perpendicular to one of the two or more parallel lines, then it is also perpendicular to the remaining lines. | 7 |

179 | A bicycle wheel makes four and half turns, then the number of right angles through which it turns is A . 16 B. 18 c. 20 D. 8 | 9 |

180 | One of the angles forming a linear pair is a right angle. What can you say about its other angle? | 9 |

181 | n the given figure if ( A B | D E, angle B A C= ) ( 35^{circ} ) and ( angle C D E=53^{circ}, ) find ( angle D C E ) | 9 |

182 | If two straight lines intersect the measures of the vertically opposite angles are A. equal B. not equal c. cannot be determined D. none of these | 9 |

183 | find the value of ( x ) in each of the following figures. (a) | 9 |

184 | n figure, line ( n ) is a transversal to lines and ( m ). Identify the following pairs of interior and exterior angles on the same side of the transversal in figure. | 9 |

185 | What do you mean by linear pair of angles? | 9 |

186 | Mark the correct alternative of the following. In figure, if ( A O B ) and ( C O D ) are straight lines. Then, ( boldsymbol{x}+boldsymbol{y}=? ) A .120 B. 140 ( c .100 ) D. 160 | 9 |

187 | In figure, name each linear pair and each pair of vertically opposite angles | 9 |

188 | Find ( x ) | 9 |

189 | If two parallel lines are cut by a transversal, then each pair of corresponding angle are A . congruent B. obtuse c. acute D. ( 90^{circ} ) | 9 |

190 | In the figure above, point ( mathrm{B} ) lies on ( overline{boldsymbol{A} C} ). Find a possible value of ( boldsymbol{X}, ) if ( boldsymbol{X} ) and ( boldsymbol{Y} ) are integers. A ( .30^{circ} ) B. ( 35^{circ} ) ( c cdot 40^{circ} ) ( D .50 ) E. 55 | 7 |

191 | In a ( Delta A B C, D, E ) and ( F ) are respectively, the mid-points of BC, and AB. If the lengths of side ( A B, B C ) and ( C A ) ( operatorname{are} 7 mathrm{cm}, 8 mathrm{cm}, ) and ( 9 mathrm{cm}, ) respectively find the perimeter of ( Delta D E F ) | 9 |

192 | What is the measure of complementary angle of ( 32^{circ} ? ) A ( cdot 48^{circ} ) B. 78 ( c cdot 58 ) ( D cdot 68 ) | 7 |

193 | Find the values of the unknown ( x ) and n the following diagram. | 9 |

194 | ( A B | C D ) and ( A C M ) is a straight line ( angle B A C ) is equal to: A ( cdot 106^{circ} ) B. ( 108^{circ} ) ( mathrm{c} cdot 110^{circ} ) D. ( 109^{circ} ) | 9 |

195 | ( square A B C D ) is a trapezium in which ( boldsymbol{A B} | boldsymbol{D C} ) and ( angle boldsymbol{A}=angle boldsymbol{B}=mathbf{4 5}^{boldsymbol{o}} . ) Find ( angle boldsymbol{C} ) and ( angle D ) of the trapezium. A ( cdot 135^{circ} ) each B . ( 125^{circ}, 145^{circ} ) c. ( 145^{circ}, 125^{circ} ) D . ( 115^{circ}, 155^{circ} ) | 9 |

196 | Write all pairs of vertically opposite angles. | 9 |

197 | n fig, if ( boldsymbol{A B}|boldsymbol{C D}, boldsymbol{C D}| boldsymbol{E F} ) and ( boldsymbol{y} ) ( z=3: 7 ) find ( x ) | 7 |

198 | If two straight lines intersect, the measures of the vertically opposite angles are A. equal B. not equal c. cannot be determined D. Nont of these | 9 |

199 | Read the following statements which are taken as axioms: (i) If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal. (ii) If a transversal intersect two parallel lines, then alternate interior angles are equal Is this system of axioms consistent? | 7 |

200 | If true then enter 1 and if false then enter 0 Can two obtuse angles be supplementary? | 7 |

201 | Find the value of unknown ( x ) in the following diagram. | 9 |

202 | In the figure given ( L_{1} ) and ( L_{2} ) are parallel. The sum of the angles ( boldsymbol{alpha}, boldsymbol{beta}, boldsymbol{gamma} ) marked in the diagram is: ( A cdot 180^{circ} ) В. ( 270^{circ} ) ( c cdot 360^{circ} ) D. ( leq 270^{circ} ) | 9 |

203 | n the figure if ( B D | E F ), then ( angle C E F ) is A ( cdot 100^{circ} ) В. 120 ( c cdot 140^{circ} ) ( 0.160^{circ} ) | 7 |

204 | State true or false: Angles forming a linear pair are supplementary. A. True B. False | 7 |

205 | Find the measure of the supplementary angle of ( 132^{circ} ) A ( cdot 48^{circ} ) B. ( 32^{circ} ) ( c cdot 42^{circ} ) ( D cdot 38^{circ} ) | 7 |

206 | Mark the correct alternative of the following. If the measures of the angles of a triangle are ( (2 x)^{o},(3 x-5)^{o} ) and ( (4 x- ) 13) ( ^{circ} . ) Then the value of ( x ) is? A . 22 B . 18 c. 20 D. 30 | 9 |

207 | in the given figure sides of the angles are parallel. Find ( boldsymbol{x} ) and ( boldsymbol{y} ) if ( angle boldsymbol{A}=mathbf{5 5}^{circ} ) | 9 |

208 | The difference between the supplement of an angle and the angle is ( 36^{circ} . ) The supplement is: A .72 B. ( 108^{circ} ) ( c cdot 63 ) D. 27 | 7 |

209 | Find the ( x ) and ( y ) in the following figure: | 9 |

210 | If ( X ) is a point on the line ( A B . Y ) and ( Z ) are points outside such that ( angle A X Y= ) ( 45^{circ} ) and ( angle Y X Z=150^{circ}, ) then ( angle A X Z ) is equal to: A ( cdot 120^{circ} ) B. ( 135^{circ} ) ( c cdot 150^{circ} ) D. ( 165^{circ} ) | 7 |

211 | If true then enter 1 and if false then enter 0 Can an acute angle be adjacent to an obtuse angle? | 9 |

212 | In the figure, find ( x ) | 7 |

213 | As shown in above figure which of the following angles are equal A ( . angle 1 ) and ( angle 2 ) B. ( angle 1 ) and ( angle 3 ) ( c cdot angle 1 ) and ( angle 4 ) D. None of the above | 7 |

214 | Observe the angles shown in the figure and write the following pair of angles. (1) Interior alternate angles (2) Corresponding angles (3) Interior angles | 7 |

215 | In the figure, if linel ( | ) m. What is the value of ( x ) | 7 |

216 | Lines ( P Q ) and ( R S ) intersect at ( O ). If ( angle P O S=2 angle S O Q ) then the four angles at ( boldsymbol{O} ) are В. ( 60^{circ}, 60^{circ}, 120^{circ}, 120^{circ} ) c. ( 60^{circ}, 90^{circ}, 90^{circ}, 120^{circ} ) D. ( 30^{circ}, 60^{circ}, 90^{circ}, 180^{circ} ) | 9 |

217 | The angle between the internal and the external bisectors of an angle of a triangle is A ( .90^{circ} ) B. ( 180^{circ} ) ( c cdot 270^{circ} ) D. ( 30^{circ} ) | 9 |

218 | In fig. find the values of ( x ) and ( y ) and ( t ) Show that ( boldsymbol{A B} | boldsymbol{C D} ) A. ( x=100 ) and ( y=130 ) B . ( x=230 ) and ( y=130 ) c. ( x=130 ) and ( y=130 ) D. None of these | 9 |

219 | The measure of an angle is three times the measure of its complement. The angles are: A ( cdot 20^{circ}, 60^{circ} ) B. ( 30^{circ}, 60^{circ} ) c. ( 45^{circ}, 135^{circ} ) D . 22.5^, 67.5 ( ^{circ} ) | 7 |

220 | In the given figure, ( a ) is greater than ( b ) by two third of a right angle. The values of ( a ) and ( b ) are A ( cdot 100^{circ}, 80^{circ} ) B . ( 105^{circ}, 75^{circ} ) ( mathbf{c} cdot 90^{circ}, 90^{circ} ) D. ( 120^{circ}, 60^{circ} ) | 7 |

221 | In the figure, if ( angle q=140 ), what is the value of ( angle boldsymbol{r}-angle boldsymbol{p} ? ) ( A cdot 0^{circ} ) B. ( 10^{circ} ) ( c .90^{circ} ) D. 130 | 9 |

222 | In the given figure, the straight line ( A B ) and ( mathrm{CD} ) are parallel to each other. If angle ( boldsymbol{p}=mathbf{5 5}^{circ}, ) and, ( boldsymbol{q}=mathbf{4 3}^{boldsymbol{o}} ) then answer the given questions. Find the value ( x ) ( mathbf{A} cdot 55^{circ} ) B. ( 82^{circ} ) ( mathbf{c} cdot 98^{circ} ) D. ( 108^{circ} ) | 7 |

223 | In the given figure ( A B | C D ). find the value of ( x ) and ( y ) A ( cdot x=35^{circ}, y=65^{circ} ) B . ( x=95^{circ}, y=65^{circ} ) C . ( x=85^{circ}, y=65^{circ} ) D. ( x=25^{circ}, y=65 ) | 7 |

224 | In fig name all the pairs of adjacent angles. | 9 |

225 | Choose the pair of complementary angles. A ( cdot 30^{circ}, 150^{circ} ) B. ( 76^{circ}, 14^{circ} ) ( mathbf{c} cdot 65^{circ}, 65^{circ} ) D. ( 120^{circ}, 30^{circ} ) | 7 |

226 | If true then enter 1 and if false then enter 0 Can two adjacent angles be complementary? | 7 |

227 | If ( l | boldsymbol{m} ) and ( mathrm{CD} ) is transversal, ( angle mathbf{1} ) and ( angle mathbf{2} ) represents A. Co-interior angles B. Corresponding angles c. Alternate interior angles D. Exterior angles | 9 |

228 | Measure of one angle of linear pair is ( 108^{circ}, ) then find the measure of another angle. | 9 |

229 | Find the value of the unknown interior angle ( x ) in the following figure. | 9 |

230 | In the adjoining figure, identify the pair of corresponding angles | 9 |

231 | Two supplementary angles differ by ( 22^{0} ) Find the angles. | 9 |

232 | ( A B ) is a straight line and ( O ) is a pont lying on ( A B . A ) line ( O C ) is drawn from ( O ) such that ( angle C O A=36^{circ} . O D ) is a line within ( angle C O A ) such that ( angle D O A=frac{1}{3} ) ( angle C O A ). If ( O E ) is a line within the ( angle B O C ) ( angle B O E=frac{1}{4} angle B O C, ) then ( angle D O E ) must be: A ( cdot 60^{circ} ) В ( cdot 132^{circ} ) ( c cdot 144^{circ} ) D. ( 108^{circ} ) | 9 |

233 | fray ( O S ) stand on a line ( P O Q ). Ray ( O R ) and ray ( boldsymbol{O} boldsymbol{T} ) are angle bisectors of ( angle P O S ) and ( angle S O Q ) respectively. If ( angle P O S=x, ) find ( angle R O T ) | 7 |

234 | Find the measure of the complementary angle of ( 90^{circ} ) A ( cdot 0^{circ} ) B . 45 ( c .90 ) D. 60 | 7 |

235 | One angle of linear pair is a right angle, then find the measure of another angle. | 9 |

236 | Which of the following statements are true (T) and which are false (F) : Sum of the three angles of a triangle is | 9 |

237 | Which of the following pairs is pair of interior formed by two parallel lines and on the same side of the transversal? A ( cdot 30^{circ}, 60^{circ} ) ( ^{0}, 66,6^{circ} ) В. ( 30^{0}, 150^{0} ) c. ( 60^{circ}, 130^{circ} ) D. ( 50^{circ}, 120^{0} ) | 9 |

238 | Draw an angle and label it as ( angle B A C ) Construct another angle, equal to ( angle B A C ) | 7 |

239 | ( angle A ) and ( angle B ) are liner pair of angles. If ( 4 angle A=5 angle B . ) then find ( angle A ) and ( angle B ) | 9 |

240 | The angle between the lines ( x+y- ) ( mathbf{3}=mathbf{0} ) and ( boldsymbol{x}-boldsymbol{y}+mathbf{3}=mathbf{0} ) is ( boldsymbol{alpha} ) and the acute angle between the lines ( x- ) ( sqrt{3 y}+2 sqrt{3}=0 ) and ( sqrt{3 x}-y+1=0 ) is ( beta . ) Which one of the following is correct? A. ( alpha=beta ) в. ( alpha>beta ) c. ( alpha<beta ) D. ( alpha=2 beta ) | 7 |

241 | Angles ( Q ) and ( R ) of a ( Delta P Q R ) are ( 25^{circ} ) and ( 65^{circ} . ) Write which of the following is true: 1. ( boldsymbol{P Q}^{2}+boldsymbol{Q} boldsymbol{R}^{2}=boldsymbol{R} boldsymbol{P}^{2} ) 2. ( boldsymbol{P Q}^{mathbf{2}}+boldsymbol{R} boldsymbol{P}^{2}=boldsymbol{Q} boldsymbol{R}^{2} ) 3. ( boldsymbol{R} boldsymbol{P}^{2}+boldsymbol{Q} boldsymbol{R}^{2}=boldsymbol{P} boldsymbol{Q}^{2} ) | 9 |

242 | Construct the following angles using set-squares: ( 150^{circ} ) | 9 |

243 | Name the pairs of adjacent angles in the figures. | 9 |

244 | An angle is such that the ratio between its complementary and supplementary angles is ( 1: 4 . ) Then the angle measure is? A ( cdot 45^{circ} ) B. ( 60^{circ} ) ( c cdot 75^{circ} ) D. ( 90^{circ} ) | 7 |

245 | Find the value of ( x ) | 9 |

246 | Can two angles be supplementary if both of them are: (i) acute (ii) obtuse (iii) right? | 7 |

247 | Find the value of ( x ) in given figure if ( boldsymbol{A B} | boldsymbol{C D} ) ( x ) is the exterior angle of ( angle P Q R ) A ( .275^{circ} ) B . ( 280^{circ} ) ( mathbf{c} cdot 285^{circ} ) D. ( 295^{circ} ) | 7 |

248 | If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles? | 7 |

249 | Find the measure of an angle if its supplement-three times complement ( =20^{circ} 30^{prime} 40^{prime prime} ) | 7 |

250 | ( A B ) and ( C D ) intersects each other at point ( O . ) Measure of one angle formed by intersection is ( 120^{circ}, ) then the measure of another three angles are ( 60^{circ}, 120^{circ}, 60^{circ} ) A. True B. False | 9 |

251 | 13. In the given figure, find a+b+c+d. 60° s 800 120° | 7 |

252 | Manasa says, Each angle in any pair of complementary angles is a always acute. Do you agree? Give reason. | 7 |

253 | In the adjacent figure, a line ( n ) falls on lines ( l ) and ( m ) such that the sum of the interior angle 1 and 2 is less than ( 180^{circ} ) then what can you say about lines ( l ) and | 7 |

254 | ( f angle 2=(3 x-10)^{circ} ) and ( angle 8=(5 x-30)^{circ} ) find the measures of ( angle 2 ) and ( angle 8 ) This question has multiple correct options ( mathbf{A} cdot angle 2=20^{circ} ) ( mathbf{B} cdot angle 8=20^{circ} ) ( mathbf{c} cdot angle 2=40^{circ} ) D. ( angle 8=40^{circ} ) | 7 |

255 | If true then enter 1 and if false then enter 0 Can two obtuse angles form a linear pair? | 9 |

256 | If one angle of a linear pair is acute, then its other angle will be A. obtuse angle B. Acute angle c. Right angle D. None of these | 9 |

257 | 61. In APQR, the bisectors of 20 and ZR meet each other at point Tand ZQPR = 80º and ZPRT = 30°, then ZOTR will be (1) 110 (2) 120° (3) 130° (4) 140 | 9 |

258 | In the given figure, ( A B | D C, angle B A D= ) ( 90^{0}, angle C B D=28^{0} ) and ( angle B C E=65^{0} ) Then ( angle A B D=? ) ( A cdot 32 ) B .37 ( c cdot 43 ) ( D cdot 53^{circ} ) | 9 |

259 | Find the measure of an angle, if seven times its complement is ( 10^{circ} ) less than three times its supplement A .40 B . 25 ( c cdot 30^{circ} ) D. 15 | 7 |

260 | In the adjoining figure, parallel lines are shown with similar markings. Find ( angle x ) if ( angle x=5 angle y ) ( mathbf{A} cdot 30^{circ} ) B. ( 60^{circ} ) c. ( 150^{circ} ) D. ( 170^{circ} ) | 7 |

261 | Two angles measure ( (30-a)^{circ} ) and ( (125+2 a)^{circ} . ) If each one is the supplement of the other, then the value of a is: A . 45 B. 35 ( c cdot 25 ) D. ( 65^{circ} ) | 7 |

262 | In the given figure, QP II ML and other angles are shown. Find the value of ( x ) ( mathbf{A} cdot 60^{circ} ) B ( .35^{circ} ) ( c cdot 20^{circ} ) ( D cdot 30^{circ} ) | 7 |

263 | In the given figure, we have ( angle 1=angle 3 ) and ( angle 2=angle 4 ), then: 4. ( angle A=angle C ) 3. ( angle A=angle D ) ( c cdot angle A=angle B ) begin{tabular}{l} ( . angle B=angle L ) \ hline end{tabular} | 9 |

264 | Find ( boldsymbol{x}+boldsymbol{y}+boldsymbol{z} ) A ( cdot x+y+z=180 ) в. ( x+y+z=360^{circ} ) c. ( x+y+z=480^{circ} ) D. ( x+y+z=540 ) | 9 |

265 | Find the measure of the angles of a triangle in each of the following cases: One of the acute angles of a right triangle is ( 63^{circ} . ) Find the other angle. | 9 |

266 | Find the value of ( x ) in each of the following figures? | 9 |

267 | In a triangle ( A B C, ) the angle bisectors of angle ( A B C ) and ( A C B ) meet at point ( 0 . ) If ( angle ) ( mathrm{BAC}=32^{circ}, ) find ( angle mathrm{BOC} ) | 9 |

268 | Measure of one angle of linear pair is given. Find the measure of another angle: ( 111^{circ} ) | 9 |

269 | Find the values of the unknown ( x ) and ( y ) in the following diagram. | 9 |

270 | IN the figure || and ( n ) is a ttansversal such that ( angle 3: angle 8=1: 2 . ) Find ( angle 4 ) and ( angle 3 ) | 7 |

271 | Write the measure of supplementary angle of the given angles: ( mathbf{1 0 0}^{circ} ) | 7 |

272 | From the adjoining figure, calculate the values of ( boldsymbol{a} ) A ( cdot 46^{circ} ) B. 38 ( c cdot 56^{circ} ) D. none of the above | 9 |

273 | What is the value of ( x ) in the given figure? ( mathbf{A} cdot 71^{circ} ) B ( .90^{circ} ) ( c cdot 19^{c} ) ( D cdot 24^{c} ) | 7 |

274 | In the above sided figure,if ( Q T perp P R ., angle T Q R=40^{circ} ) and ( angle S P R= ) ( 30^{circ} ),find ( x ) and ( y ) | 9 |

275 | If the angles of a triangle are in the ratio ( 1: 2: 7, ) then the triangle is: A . an acute angled triangle B. an obtuse angled triangle c. a right angled triangle D. a right angled isosceles triangle | 9 |

276 | Identify whether the following pairs of angles are complementary or supplementary: ( 63^{circ}, 27^{circ} ) | 7 |

277 | According to figure, find the values of angles ( x, y ) and ( z ) | 9 |

278 | In the given figure, if ( boldsymbol{x}+boldsymbol{y}=boldsymbol{w}+boldsymbol{z} ) then prove that ( A O B ) is a line. | 7 |

279 | ( A B | overrightarrow{C D} ) in the following figure. ( overline{X Y} ) is the transversal. If ( m angle P Q A=140^{circ}, ) find the measure of remaining angles: | 9 |

280 | ( a, b, c ) are three adjacent angles at a point ( O ) on a line ( A B ) such that their degree measures are three consecutive numbers. Find values of ( a, b, c ) | 7 |

281 | For an angle ( x^{2} ), find: The supplementary angle. | 7 |

282 | In the given figure, which line is perpendicular to AB? A. CD B. EF ( c cdot G H ) ( D cdot mid J ) | 9 |

283 | What are complementary and supplementary angles? | 7 |

284 | Draw diagrams illustrating each of the following situation: (a) Three straight lines which do not pass through a fixed point. (b) A point and rays emanating from that point such that the angle between any two adjacent rays is an acute angle. (c) Two angles which are not adjacent angles, but still supplementary. (d) Three points in the plane which are equidistant from each other | 7 |

285 | Find the complement of the angles represented in given figure. | 7 |

286 | n Fig., if ( boldsymbol{A B} | boldsymbol{C D} ) and ( boldsymbol{C D} | boldsymbol{E} boldsymbol{F} ), find ( angle A C E ) | 7 |

287 | Find the complementary angle of ( 45 frac{1}{2}^{circ} ) | 7 |

288 | Mark the correct alternative of the following. If the measures of the angles of a triangle are ( (2 x-5)^{o},left(3 x-frac{1}{2}right) ) and ( left(30-frac{x}{2}right), ) then ( x=? ) | 9 |

289 | n Fig, POQ is a line. The value of ( x ) is: A . ( 20^{circ} ) B ( cdot 25^{circ} ) ( c cdot 30^{0} ) D. 35 | 7 |

290 | By simply looking at the pair of angles given in figure. State which of the angle in the pairs is greater. | 9 |

291 | If ( l | boldsymbol{m} ) and ( boldsymbol{m} | boldsymbol{n} ) then: A . ( l | ) в. ( l | ) c. ( m | ) n D. ( l | n ) | 7 |

292 | Lines ( mathrm{PQ} ) and RS intersect at ( 0 . ) If ( angle P O R ) is three times ( angle R O Q, ) then ( angle S O Q ) is A ( cdot 120^{circ} ) B. 150 ( c cdot 135 ) D. 45 | 9 |

293 | Fill up the table on finding complementary angle of given angle: ( begin{array}{ll}text { Angle }-1 & text { Angle }-2 \ text { 500 }end{array} ) (1) ( 50^{circ} ) 1 一较 – (1) and (2) , a ( – ) ( – ) ( 63^{circ} ) (3) an ( 47^{circ} ) and ( – ) (4) (i) (5) (6) ” begin{tabular}{ll} ( 47^{circ} ) & ( – ) \ ( 56^{circ} ) & ( 12^{circ} ) \ hline & \ ( 67^{circ} ) & \ hline end{tabular} “of | 7 |

294 | The sum of all six exterior angles of triangle is A . 180 в. 360 c. 720 D. 90 | 9 |

295 | In the given figure, ( angle A O B=90^{circ} ) and ( C O D ) is a straight line. The values of ( x ) and ( y ) are respectively. A ( cdot 25^{circ} ) and ( 15^{circ} ) B ( cdot 20^{circ} ) and ( 30^{circ} ) ( mathbf{c} cdot 15^{circ} ) and ( 45^{circ} ) D. ( 10^{circ} ) and ( 60^{circ} ) | 9 |

296 | Find the value of ( x ) in each of the following figure, if ( boldsymbol{I} | boldsymbol{m} ) | 7 |

297 | Find the value of ( x ) in each of the following figure : | 9 |

298 | O is any point inside a triangle ABC. The bisector of ( angle A O B, angle B O C ) and ( angle C O A ) meet the sides, ( A B, B C ) and ( C A ) in point D, E and F respectively, therefore, ( A D times B E=D B times F A ) A. True B. False | 9 |

299 | Find the measure of the supplementary angle pair of ( 60^{circ} . ) (in degrees) | 7 |

300 | n fig, then ( angle A+angle B+angle C+angle D+ ) ( angle boldsymbol{E}+angle boldsymbol{F}= ) A ( cdot 180^{circ} ) B. ( 270^{circ} ) ( c .360^{circ} ) D. ( 540^{circ} ) | 9 |

301 | n figure if ( x=y ) and ( a=b, ) then prove that ( r | n ) | 7 |

302 | Complement angle of A . ( 77.4^{circ} ) B .67 .3 ( c cdot 76.3^{circ} ) D. ( 77.3^{circ} ) | 7 |

303 | The supplement angle of the complement of ( 30^{circ} ) is A ( .150^{circ} ) B . ( 120^{circ} ) ( mathrm{c} cdot 90^{circ} ) D. ( 210^{circ} ) | 7 |

304 | In the adjoin figure, ( A B C ) is an isocules triangle with ( A B=A C & L M ) is parallel to ( B C . ) If ( angle A=50^{circ}, ) find ( angle L M C ) | 9 |

305 | Find the value of ( x ) and ( y ) A ( cdot 60^{circ}, 45^{circ} ) B ( .45^{circ}, 60^{circ} ) ( mathbf{c} cdot 45^{circ}, 45 ) D. ( 60^{circ}, 60^{circ} ) | 7 |

306 | Measure of one angle of linear pair is given. Find the measure of another angle: ( mathbf{2 0}^{circ} ) | 9 |

307 | Three times the complement of an angle is ( 20^{circ} ) more than its supplement. Find the angle. | 7 |

308 | If true then enter 1 and if false then enter 0 Can two obtuse angles be complement to each other? | 7 |

309 | Find the measure of the alternate angle of the angle of measure of ( 65^{0} ) A ( cdot 65^{circ} ) B . 25 ( mathrm{c} cdot 115^{circ} ) D. Depends on the orientation of lines | 9 |

310 | Write down each pair of adjacent angles shown in figure. | 9 |

311 | OA and OB are opposite rays. f ( x=75^{circ}, ) what is the value of ( y ? ) ( A cdot 105^{circ} ) B ( .75^{circ} ) ( mathbf{c} cdot 45^{circ} ) D ( .15^{circ} ) | 9 |

312 | 1. An angle is equal to one-third of its supplement. Find its measure. | 7 |

313 | If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are A. parallel B. perpendicular c. transversal D. none of these | 9 |

314 | Using information given in the adjacent figure, find the values of ( x ) and ( y ) | 9 |

315 | Let lines ( A B ) and ( C D ) intersect at ( O ) If ( angle A O C+angle B O E=70^{circ} ) and ( angle B O D=40^{circ}, ) find ( angle B O E ) | 7 |

316 | Mark the correct alternative of the following. In figure, ( A B|| C D ) and ( E F ) is a transversal intersecting ( A B ) and ( C D ) at ( P ) and ( Q ) respectively. The measure of ( angle D P Q ) is ( mathbf{A} cdot 100^{circ} ) B . ( 80^{circ} ) ( mathbf{c} cdot 110^{circ} ) D. ( 70^{circ} ) | 7 |

317 | ( boldsymbol{P Q} | boldsymbol{R} boldsymbol{S}, ) find the measure of ( boldsymbol{m} ) กก 90 137 | 9 |

318 | Twp angles form a linear pair. If one of these is one-fourth of the other, find the positive difference between the two angles.( in degrees ) | 9 |

319 | If the difference of two supplementary angles is ( 40^{0}, ) then the measurement of the greater angle is: A ( cdot 65^{circ} ) B . ( 110^{circ} ) ( c cdot 130^{circ} ) D. 220 | 7 |

320 | From the given figure, we can find that ( angle A B C=47^{circ} ) A. True B. False | 9 |

321 | ( triangle P Q R ) is an isosceles triangle with ( P Q=P R, Q P ) is produced to ( S ) and ( P T ) bisects the extension angle ( 2 x^{circ} . ) Prove that ( angle Q=x^{o} ) and hence prove that ( boldsymbol{P T} | boldsymbol{Q} boldsymbol{R} ) | 9 |

322 | If the straight lines ( A B ) and ( X Y ) intersect at the point 0 and ( angle A O X=3 angle X O B ) then the four angles formed at 0 are: A ( cdot 30^{circ}, 30^{circ}, 90^{circ}, 210^{circ} ) В. ( 30^{circ}, 30^{circ}, 150^{circ}, 150^{circ} ) c. ( 45^{circ}, 135^{circ}, 90^{circ}, 90^{circ} ) D . ( 45^{circ}, 45^{circ}, 135^{circ}, 135^{circ} ) | 9 |

323 | Lines ( m ) and ( n ) are cut by a transversal so that ( angle 1 ) and ( angle 5 ) are corresponding angles. If ( angle mathbf{1}=mathbf{2 6} boldsymbol{x}-mathbf{7}^{o} ) and ( angle mathbf{5}= ) ( 20 x+17^{circ} . ) What value of ( x ) makes the lines ( m ) and ( n ) parallel? A . 5 B. 4 c. ( _{4} frac{1}{2} ) D. ( _{3} frac{1}{4} ) | 7 |

324 | In the adjoining figure, name the following pairs of angles. Equal supplementary angles | 7 |

325 | In the given diagram CE is parallel to AD and the measures of two angles at ( mathrm{B} ) and ( C ) have been indicated.Then ( angle D A B ) is equal to ( A cdot 30 ) B. 35 ( c cdot 40 ) D. cannot be determined | 9 |

326 | n fig. I I I and p I Find values of ( x, y ) ( z, t ) | 9 |

327 | Measure of one angle of linear pair is given. Find the measure of another angle: ( mathbf{1 0 7}^{circ} ) | 9 |

328 | In the given figure, ( A B=B C ) and ( A C=C D . ) Prove that: ( angle B A D ) ( angle A D B=3: 1 ) | 9 |

329 | Find the value of unknown ( x ) in the following diagram | 9 |

330 | In each of the following figure ( A B | C D ) Find the value of ( x ) in each case | 7 |

331 | n the figure measure of two angles are given. If line ED ( | operatorname{seg} A B ) and ( E-C-D ) then find the values of ( x ) in degrees. ( A cdot 35 ) B. ( 55^{circ} ) ( c cdot 65^{circ} ) ( D .95 ) | 9 |

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