Tp6 Angles

8/13/2019 Tp6 Angles

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Topic Angles

Class 7

Name the type of each of the following angles:

1. 22

2. 189

3. 300

4. 105

5. 90

6. 360

7. 215

8. 294

9. 45

10. 180

11. 5

12. 100

13. 96

14. 320

15. 218

Find the size of unknown angle

16.


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17.

18.

19.

Find the size of the unknown angle:

20.

21.

22.

23.


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24.

25.

26.

27.

Mark the four pairs of corresponding angles (Question 28 and 29):

28.

29.

Find the size of the unknown angle


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30.

31.

32.

33.

34.

35.

36.


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37.

Classify the following triangles using the sides and the angles:

38.

39.

40.

41.

42.

43.

Find the size of the unknown and name them:


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44.

45.

46.

47.

48.

49.

Find the value of unknown

50.


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51.

Find the value of unknown in each of the following diagrams:

52.

53.

54.

55.

56.

57.

58.


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59.

60.

61.

62.

63.

64.

65.


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66.

67.

68.

69. The angle of rotation of an equilateral triangle is

70. The order of rotational symmetry of a square is

71. The angle of rotation of an object is 720then its order of rotational symmetry is

72. The angle of rotation of the letter S is

73. The order of rotational symmetry of the letter V is one then its angle of

rotation is

74. In the given figure identify the two pairs of adjacent angles.

75. In the given figure identify the two pairs of vertically opposite angles.


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76. Find the value of x in the given figure.





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83. The sum of the adjacent angles on a line is

84. In the figure COA will be


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85. In the figure BOC will be

86. In the figure CD is perpendicular to AB, then the value of BCE will be

Name the adjacent angles in the following figures

87.

88.

89. Identify the vertically opposite angles in the figure:


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Find B if A measures

90. 30o

91. 80o

92. 70

93. 60

94. 45o

95. In figure AB and CD be the intersecting lines if DOB = 35ofind the measureof the other angles.

Find the value of x in the following figures

96.


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97.

98.

99.

100.

101.

102. In the following figure two lines AB and CD intersect at the point O. Find the

value of x and y.


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103. Two linear adjacent angles on a line are 4x and (3x + 5). Find the value of x.

104. The clock shows 5 o'clock. What is the size of the smaller angle between the

minute and hour hands?

105. In ABC, mC is 20 greater than mA. The sum of mA and mC is twice

mB. Find the three angles.

106. In the figure x = 128. Find y.

107. Find BCE and ECD in the Figure,

108. Two angles of a triangle are 43 and 27. Find the third angle.

109. In ABC,A = 75o,B = 65ofind C.


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110. In ABC, given that A = 70oand AB = AC. Find the other angles of ABC.

111. The measures of the angles of a triangle are in the ratio 5:4:3. Find the angles

of the triangle.

112. Find the angles of the triangle ABC, given in Figure.

113. Find the value of DEC from the given Figure

114. The three exterior angles of a triangle are 130, 140, x then x is

115. The angles of a triangle are (x35), (x20) and (x + 40). Find the three

angles.

116. In ABC, the measure of A is greater than the measure of B by 24

o

. If theexterior angle C is 108. Find the angles of the ABC.

Find the value of x and y from the following figures:


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117.

118.

119.

120. From the following figures, state whether the given pairs of triangles arecongruent


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121. AB and CD bisect each other at O. Prove that AC = BD.

122. In the given figure, DAB and CAB are on the same base AB. Prove that

DAB / CAB

123. Prove that the angles opposite to equal side of a triangle are equal.

124. In the figure, the value of x is

125. In the figure, ABC is a triangle in which AB = AC. Find x and y.


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126. In the figure, Find x.

127. In the figure PQR and SQR are isosceles triangles. Find x.

128. In the figure, it is given that BR = PC and ACB = QRP and AB PQ.

Prove that AC = QR.

129. Find x, y, z from the figure, where AB = BD =, BC = DC and DAC = 30o.

130. x and y are supplementary angles, given that x = 72o, find the value of y?

131. Find the complement of a 44oangle?

132. Find the supplement of a 63oangle?

133. Two angles are complementary. If the measure of the angle is twice the

measure of the other, find the measure of each?


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134. The difference between the measure of 2 supplementary angles is 50o. Find

the measure of the larger angle?

135. What is the measure of the complement of an angle which is represented by

5x

o

.

136. a and b are complementary angles. If a = b find the value of a?

137. x and y are complementary angles. If x = 2y, find the value of x and y?

138. The measure of an angle is 22o. What is the measure of a complementary

angle?

139. The measure of an angle is 110o, find its supplementary angle?

140. The measure of an angle is 81o. What is the measure of a complementary

angle?

141. Given: AXB and BXC are complementary. If AXB = 52. Then:

BXC is?

142. Given: DYE and EYF are supplementary. If DYE = 86. Then EYF is?

143. Given: JZK and KZL are complementary. If JZK = 7x + 20 and

KZL = 5x + 34. Find x.


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144. Given: JZK and KZL are complementary. If JZK = 7x + 20 and

KZL = 5x + 34. Find JZK and KZL.

145. Given: MON and NOP are supplementary. If MON = 9x + 33 and

NOP = 5x + 54. Find x?

146. Given: MON and NOP are supplementary. If MON = 9x + 33 and

NOP = 5x + 54. Find MON and NOP.

147. In a right triangle PQR with angle Q a right angle, suppose we have P = 2x

10 and R = 5x -10. What is the value of x and the measure of angles P and

R?

148. In the diagram below suppose that 1 = 4x and 2 = 2x + 10. What is the

value of x and what is the measure of 3.

149. In the triangle ABC below, angle C is a right angle. Suppose A = 3x and B

= 2x 10. What is the value of x and what are the measures of A and B?


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150. In the diagram below, suppose that 1 = 83oand EPD = 34o. Find FPE,

APF and 2?


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Answer Key:

1. Acute Angle

2. Reflex Angle

3. Reflex Angle4. Obtuse Angle

5. Right angle

6. Revolution

7. Reflex Angle

8. Reflex Angle

9. Acute Angle

10. Straight Angle11. Acute Angle

12. Obtuse Angle

13. Obtuse Angle

14. Reflex Angle

15. Reflex Angle16. a = 80 (Vertically opposite angles are equal. There are two pairs)

17. b = 135 (Vertically opposite angles are equal. There are two pairs)

18. a = 43 (Vertically opposite angles are equal. There are two pairs)

19. a = 110 and b = 7020. 80

21. 60

22. 50

23. 60

24. 150

25. 85

26. 110

27. 150

28.


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29.

30. a = 115

31. b = 63

32. c = 74

33. d = 70

34. x = 110

35. y = 75

36. a = 45

37. b = 30

38. Isosceles, acute angled (Two sides equal = Isosceles)

39. Equilateral, acute angled (All sides equal = Equilateral)

40. Scalene, obtuse angled (All sides different = Scalene)

41. Right-angled (Right angled if one of the angle is 90)42. Scalene, acute-angled (All sides different = Scalene)

43. Equilateral, acute-angled (All sides equal = Equilateral)

44. a = 70 (Isosceles triangle)


46. b = 60 (Equilateral triangle)

47. a = b = c = 60 (Equilateral triangle), d = e = 8 cm

48. b = 65 (Isosceles triangle)

49. z = 60 (Equilateral triangle), x = y = 1 m

50. a = 90

51. x = 70, y = 45, z = 65

52. x = 80

53. x = 60

54. x = 110

55. x = 145

56. x = 130


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57. x = 120

58. x = 45

59. x = 105

60. a = 120, b = 60

61. b = 75

62. b = 55

63. a = 155

64. a = 110

65. x = 100


67. b = 60 (Equilateral triangle)

68. z = 60 (Equilateral triangle), x = y = 3m

69. 120o

70. 4

71. 5

72. 180o

73. 360o

74. EOA, COE and COA, BOC

75. i) BOC, AOD and ii) COA, DOB

76. 135o

77. 80o

78. 45o

79. 110o

80. 40o

81. 30o

82. 45o

83. 180o

84. 100o

85. 120o

86. 50o

87. DOC, COB and COB and BOA

88. QOX, XOP; POY, YOQ; YOQ, QOX; XOP, POY

89. POR, QOS; SOP, ROQ


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90. 150o

91. 100o

92. 110o

93. 120o

94. 135o

95. BOC = 145; AOD = 145; COA = 35

96. 80

97. 110

98. 20

99. 80

100. 36

101. 45

102. y = 120; x = 60

103. x = 25

104. 150o

105. mA = 50; mB = 60; mC = 70

106. 52o

107. 50o, 40o

108. 110o

109. 40o

110. 55o, 55o

111. 75, 60 and 45

112. 70o, 40o

113. 38o

114. 90o

115. 30o, 45o, 105o

116. 42o

117. x = 58, y = 108

118. x = 30, y = 30

119. x = 42, y = 40

120. PQR XYZ

121. Proof of theorem



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124. 100o

125. x = 66, y = 132

126. x = 70

127. 50o


129. x = 30, y = 60, z = 60

130. 108o

131. 46o

132. 117o

133. 30oand 60o

134. 115o

135. 905x

136. 45o

137. 60o, 30o

138. 68o

139. 70o

140. 9o

141. 38o

142. 94o

143. 3

144. 41o, 49o

145. 6.6

146. 92.8, 87.2

147. 20, 30o, 60o

148. 5, 160o

149. 15, 60o, 30o

150. 83o, 63o, 63o

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Tp6 Angles