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Worksheets

vertical angles

Total questions: 74

Worksheet time: 3hrs 34mins

Name
Class
Date
1.
1. Find X 
a)
28
b)
5
c)
55
d)
40
2.
2. Find X
a)
9
b)
27
c)
45
3.
2. FIND ∠SOR
a)
45
b)
135
c)
90
d)
180
4.
3. Find X
a)
59
b)
31
c)
177
5.
3. Find ∠NOQ
a)
31
b)
59
c)
180
d)
149
6.
4. Find X
a)
1
b)
30
c)
53
d)
10
7.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
8.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
9.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
10.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
11.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
12.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
13.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
14.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
15.

Two angles added together to equal 90 degrees is:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

16.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
17.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
18.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
19.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
20.
What is the measure of the missing angle?
a)
92
b)
102
c)
82
d)
72
21.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
b)
17°
c)
83°
d)
97°
22.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
23.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
24.
What is the complement angle to 30°?
a)
60°
b)
30°
c)
150°
d)
230˚
25.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
26.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
27.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
28.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
29.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
30.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
31.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
32.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
33.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
34.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
35.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

36.

What is the definition of a complementary angle?

a)

Two angles that have the same measure

b)

A straight line that equals 180 degrees

c)

Two angles that measure 90 degrees

d)

Two angles that measure 180 degrees

37.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

38.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

39.

An angle measures 14°. What is the measure of the complementary angle?

a)

76°

b)

166°

c)

14°

d)

68°

40.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
41.
What is the measure of the missing angle?
a)
76
b)
86
c)
166
d)
156
42.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
43.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
44.

Choose all answers that apply. Which of the following angles are supplementary?

a)

42 and 48

b)

12 and 78

c)

78 and 102

d)

38 and 142

45.
How are these angles related?
a)
Vertrical
b)
Complementary 
c)
Adjacent
d)
Supplementary 
46.

Choose all that apply: Which angle measurements below are supplementary to each other?

a)

144 and 36

b)

36 and 54

c)

40 and 50

d)

126 and 54

e)

21 and 159

47.
a)

48

b)

90

c)

180

d)

138

48.

Find the supplement of an angles that measures 20 degrees.

a)

160

b)

70

c)

340

d)

90

49.



(a)  

50.

The measure of an angle is 4y, find the measure of its supplement.

a)

180 + 4y

b)

90 - 4y

c)

90 + 4y

d)

180 - 4y

51.



(a)  

52.

An angles complement is 35. Find the angles supplement.

(a)  

53.
a)

Complementary

b)

Supplementary

54.
a)

Complementary

b)

Supplementary

55.
a)

Complementary

b)

Supplementary

56.



(a)  

57.
a)

(11 + 2a) - 90=(8a +9)

b)

(11 + 2a) + (8a +9)=90

58.
a)

(9 + 12a) + (3a + 7) = 76

b)

(9 + 12a) + 76 = (3a + 7)

59.
a)

∠CBD = 55°

b)

∠ABD and ∠CBD are supplementary.

c)

x° + 4x° − 85° = 180°

d)

x° + 4x° − 85° = 90°

e)

∠ABD = 35°

60.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
61.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
62.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
63.

Two angles added together to equal 90 degrees is:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

64.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
65.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
66.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
67.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
68.
What is the measure of the missing angle?
a)
92
b)
102
c)
82
d)
72
69.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
b)
17°
c)
83°
d)
97°
70.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
71.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
72.
What is the complement angle to 30°?
a)
60°
b)
30°
c)
150°
d)
230˚
73.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
74.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles