Tp6 Angles
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Transcript of 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.
77. Find the value of x in the given figure.
78. Find the value of x in the given figure.
79. Find the value of x in the given figure.
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80. Find the value of x in the given figure.
81. Find the value of x in the given figure.
82. Find the value of x in the given figure.
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)
45. a = 40 (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
66. a = 65 (Isosceles triangle)
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
122. Proof of theorem
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123. Proof of theorem
124. 100o
125. x = 66, y = 132
126. x = 70
127. 50o
128. Proof of theorem
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