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Worksheets

Angle Relationships

Total questions: 85

Worksheet time: 4hrs 8mins

Name
Class
Date
1.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
2.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
3.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
4.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
5.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
6.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

7.
∠1 and ∠3 can best be described as - (opposite angles formed by intersecting lines.)
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
8.

Find the value of y.

a)

14

b)

38

c)

76

d)

104

9.

What is the measure of a? (Hint: All angles add up to 360)

(a)  

10.

These angles are the same because they are ______________?

a)

Alternate Angles

b)

Corresponding Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

11.

These angles add to 180o because they are ______________?

a)

Co-Interior Angles

b)

Corresponding Angles

c)

Alternate Angles

d)

Vertically Opposite Angles

12.

These angles are the same because they are ______________?

a)

Vertically Opposite Angles

b)

Alternate Angles

c)

Co-Interior Angles

d)

Corresponding Angles

13.

Calculate the missing angle.

a)

110º

b)

80º

c)

70º

d)

60º

14.

Calculate the missing angle.

a)

155º

b)

35º

c)

135º

d)

145º

15.

The angles are the same because they are _____________?

a)

Alternate Angles

b)

Corresponding Angles

c)

Co-Interior Angles

d)

Vertically Opposite Angles

16.

The angles are the same because they are _____________?

a)

Corresponding Angles

b)

Alternate Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

17.

Calculate the missing angle.

a)

132º

b)

58º

c)

48º

d)

38º

18.

Calculate the missing angle.

a)

42º

b)

138º

c)

148º

d)

32º

19.

Calculate the missing angle.

a)

125º

b)

135º

c)

55º

d)

50º

20.

Calculate the missing angle.

a)

52º

b)

128º

c)

42º

d)

122º

21.

Calculate the missing angle.

a)

110º

b)

107º

c)

73º

d)

117º

22.

Calculate the missing angle.

a)

63º

b)

43º

c)

127º

d)

53º

23.

Calculate the missing angle.

a)

130º

b)

65º

c)

50º

d)

115º

24.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
25.
State the angle relationship and find the measure of angle 1
a)

Alternate angle
37

b)

Alternate angle
143

c)

Corresponding angle
143

d)

Corresponding angle
37

26.

What is the size of angle b?

(a)  

27.

What is the size of angle c?

(a)  

28.

Select all the angles that are 65o

a)

a

b)

b

c)

c

d)

d

e)

e

29.

Which colour line is a transversal across parallel lines?

a)

Blue

b)

Red

c)

Green

30.

Which colour lines are transversal across parallel lines?

a)

Yellow

b)

Red

c)

Green

d)

Purple

31.

Which colour lines are parallel lines?

a)

Yellow

b)

Red

c)

Green

d)

Purple

32.

What is the size of angle g?

(a)  

33.

What is the size of angle f?

(a)  

34.

Select all the angles that are 99o

a)

g

b)

b

c)

c

d)

d

e)

e

35.

What is the size of x

(a)  

36.

What is the size of x?

(a)  

37.

What is the size of x?

(a)  

38.

What is the size of y?

(a)  

39.

What is the size of x?

(a)  

40.

What is the size of y?

(a)  

41.

What is the size of z?

(a)  

42.

What is the size of x?

(a)  

43.

What is the size of y?

(a)  

44.
What is the size of missing angle 'a'?
a)
132 corresponding
b)
132 straight line
c)
132 alternate
d)
46 interior
45.
What is the size of missing angle 'b'?
a)
32 interior
b)
32 alternate
c)
32 corresponding
d)
148 alternate
46.
What is the size of missing angle 'a' and 'b'?
Write down your reasoning in your book.
a)
a = 54, b = 126
b)
a = 126, b = 54
c)
a = 126, b = 126
d)
a = 54, b = 54
47.
What is the size of missing angle 'a' and 'b'?
Write down your reasoning in your book.
a)
a = 73, b = 107
b)
a = 73, b = 73
c)
a = 107, b = 73
d)
a = 107, b = 107
48.

What is the size of missing angle 'c'?

a)

102 interior and alternate

b)

78 corresponding and straight line

c)

102 corresponding and vertically opposite

d)

78 alternate and straight line

49.
What is the size of missing angle 'a' and 'b'?
Write down your reasoning in to your book.
a)
a = 65, b = 65
b)
a = 130, b = 130
c)
a = 130, b = 65
d)
a = 65, b = 130
50.
What is the size of missing angle 'a' and 'b'?
Write down your reasoning in your book.
a)
a = 83, b =132
b)
a = 132, b = 83
c)
a = 83, b = 83
d)
a = 132, b = 132
51.
What is the size of missing angle 'a', 'b' and 'c'?
Write down your reasoning in your book.
a)
a = 106, b = 64, c = 42
b)
a = 74, b = 42, c = 42
c)
a = 106, b = 42, c = 46
d)
a = 74, b = 64, c = 42
52.
What is the size of missing angle 'u' and 'v'?
Write down your reasoning in your book.
a)
u = 136, v = 44
b)
u = 44, v = 44
c)
u = 44, v = 136
d)
u = 136, v = 136
53.
What is the size of missing angle 'f', 'g' and 'h'?
Write down your reasoning in your book.
a)
f = 72, g = 108, h = 72
b)
f = 108, g = 108, h = 72
c)
f = 72, g = 72, h = 72
d)
f = 108, g = 72, h = 108
54.

What type of angles are these?

a)

Vertical angles

b)

Supplementary angles

c)

Adjacent angles

55.

Find the value of x.

(a)  

56.

What type of angles are these?

a)

Vertical angles

b)

Complementary angles

c)

Adjacent angles

57.

Find the value of x

(a)  

58.

What type of angles are these?

a)

Supplementary angles

b)

Complementary angles

c)

Linear pair

59.

Find the value of x.

(a)  

60.

What type of angles are these?

a)

Vertical angles

b)

Complementary angles

c)

Supplementary angles

61.

Find the value of x.

(a)  

62.

What type of angles are these?

a)

Vertical angles

b)

Linear angles

c)

Adjacent angles

63.

Find the value of x.

(a)  

64.

What type of angles are these? Check 2!

a)

Complementary

b)

Supplementary

c)

Adjacent angles

d)

Linear pair

65.

Find the value of x.

(a)  

66.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

67.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

68.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

69.
a)
Equilateral Triangle
b)
Scalene Triangle
c)
Isosceles Triangle
d)
Right Triangle
70.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right angled Isosceles Triangle

c)

Obtuse Isosceles Triangle

d)

Obtuse Equilateral Triangle

71.

Match the following triangles to the type.

a)
1.

Scalene

b)
2.

Isosceles

c)
3.

Equilateral

72.

Name the angle form by lines DE and EF in the long form.

a)

∠e

b)

∠f

c)

∠FED

d)

∠FDE

73.

Name the angle form by lines KL and ML in the long form.

a)

∠LMK

b)

∠KML

c)

∠KLM

74.

Which is the vertex of the angle?

a)

X

b)

Y

c)

Z

75.

D is the vertex of the angle.

a)

True

b)

False

76.

Which is the vertex of the angle?

a)

E

b)

D

c)

F

77.

∠t = ∠______

a)

∠STV

b)

∠VUT

c)

∠STU

d)

∠VTU

78.

∠KML = ∠______

a)

m

b)

l

c)

k

79.

Which is the correct way to name ∠q?

a)

∠RqP

b)

∠Q

c)

∠PQR

80.

Find the unknown angle d°d\degree .

(a)  

81.

 Find the unknown angle  y°y\degree  

(a)  

82.

 Find the unknown angle s°s\degree .

(a)  

83.

What is the measure of angle x if it is complementary to a 45° angle?

a)

90°

b)

135°

c)

60°

d)

45°

84.

Find the measure of angle y if it is supplementary to a 120° angle.

a)

150°

b)

120°

c)

60°

d)

30°

85.

Two angles are vertically opposite and one measures 85°. What is the measure of the other angle?

a)

105°

b)

85°

c)

95°

d)

75°

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