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Worksheets

Angles

Total questions: 131

Worksheet time: 10hrs 38mins

Name
Class
Date
1.

What is the angle relationship?

a)

Alternate Interior

b)

Corresponding

c)

Same Side Interior

d)

Same Side Exterior

2.

The angles are

a)

Congruent

b)

Supplementary

3.

Supplementary angles equal

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

270 degrees

4.

What is the angle relationship?

a)

Same Side Interior

b)

Adjacent

c)

Corresponding

d)

Vertical

5.

The angles are

a)

Congruent

b)

Supplementary

6.

Parallel lines

a)

Will never intersect

b)

Go on and on forever

c)

Have the same distance between them at all points

d)

All of the above

7.

What is the angle relationship?

a)

Corresponding

b)

Congruent

c)

Linear Pair

d)

Vertical

8.

The angles are

a)

Congruent

b)

Supplementary

9.

What is the angle relationship?

a)

Alternate Interior

b)

Same Side Interior

c)

Alternate Exterior

d)

Same Side Exterior

10.

The angles are

a)

Congruent

b)

Supplementary

11.

What is the angle relationship?

a)

Alternate Interior

b)

Corresponding

c)

Adjacent

d)

Vertical

12.

The angles are

a)

Congruent

b)

Supplementary

13.

What is the angle relationship?

a)

Same Side Interior

b)

Same Side Exterior

c)

Corresponding

d)

Adjacent

14.

The angles are

a)

Congruent

b)

Supplementary

15.

What is the measure of angle x?

a)

120 because they are supplementary

b)

60 because they are supplementary

c)

120 because they are congruent

d)

60 because they are congruent

16.

What is the measure of angle x?

a)

74 because they are congruent

b)

74 because they are supplementary

c)

106 because they are congruent

d)

106 because they are supplementary

17.

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

a)

2 pairs of vertical angles

b)

3 pairs of vertical angles

c)

4 pairs of vertical angles

d)

8 pairs of vertical angles

18.

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

a)

2 Linear Pairs

b)

4 Linear Pairs

c)

6 Linear Pairs

d)

8 Linear Pairs

19.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example  51\angle5\cong\angle1  .  Check any box with Corresponding Angles.

a)

 1 and 2\angle1\ and\ \angle2  

b)

 2 and 6\angle2\ and\ \angle6  

c)

 4 and 8\angle4\ and\ \angle8  

d)

 3 and 7\angle3\ and\ \angle7  

20.

Suppose we assume that  51\angle5\cong\angle1 .  What is true about  1 and 4\angle1\ and\ \angle4  ?

a)

 1 and 4\angle1\ and\ \angle4  form a linear pair, so are supplementary

b)

 1 and 4\angle1\ and\ \angle4  are adjacent angles which share a side

c)

 1 4\angle1\cong\ \angle4  because they are vertical angles

d)

 1 and 4\angle1\ and\ \angle4  are right angles

21.

So, if  m2+m4=180°m\angle2+m\angle4=180\degree  and  m6=m2m\angle6=m\angle2 , we can substitute to get this equation:   m6+m4=180°m\angle6+m\angle4=180\degree .  Conclude

a)

 6 and 4\angle6\ and\ \angle4  are complementary (sum to  90°90\degree  )

b)

 6 and 4\angle6\ and\ \angle4  are supplementary (sum to  180°180\degree  )

c)

 6 and 4\angle6\ and\ \angle4  are adjacent

d)

 6 and 4\angle6\ and\ \angle4  form a linear pair

22.

Calculate the missing angle.

a)

110º

b)

80º

c)

70º

d)

60º

23.

Calculate the missing angle.

a)

132º

b)

58º

c)

48º

d)

38º

24.

Calculate the missing angle.

a)

110º

b)

107º

c)

73º

d)

117º

25.
Which value of x will show that lines l and m are parallel?
a)
20
b)
22
c)
24
d)
25
26.
Which value of x will show that line m is parallel to line r?
a)
33
b)
25
c)
24
d)
20
27.

Two supplementary angles are in the ratio 2 : 4. Therefore, the measure of  each angle is  ______

a)

120  \degree   , 60 \degree  

b)

60  °\degree   , 120 °\degree  

c)

30  \degree   , 150 \degree  

d)

50  \degree   , 130 \degree  

28.
If  m∠7 = 60°, find the measure of ∠4. 
a)
65°
b)
110°
c)
60°
d)
75°
29.
Classify the pair of angles shown. 
a)
supplementary
b)
complementary
c)
vertical 
d)
corresponding
30.
Classify the pair of angles shown.
a)
supplementary angles
b)
complementary angles
c)
vertical angles 
d)
corresponding angles 
31.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
32.
What is the value of x?
a)
13
b)
6.2
c)
29.8
33.

How can we describe these angles?

a)

Corresponding angles

b)

Alternate angles

c)

Interior angles

d)

Vertically opposite angles

34.

How can we describe these angles?

a)

Corresponding angles

b)

Alternate angles

c)

Interior angles

d)

Vertically opposite angles

35.

How can we describe these angles?

a)

Corresponding angles

b)

Alternate angles

c)

Interior angles

d)

Vertically opposite angles

36.

What is the size of angle x?

a)

108

b)

72

c)

288

d)

198

37.

How large is angle x?

a)

72

b)

198

c)

288

d)

108

38.

How big is angle x?

a)

138

b)

180

c)

32

d)

42

39.
What is a transversal?
a)
A line that intersects two or more lines
b)
The angles opposite of each other when two lines cross
c)
Two angles whose sum measures 180 degrees
d)
Lines that intersect to form a 90 degree angle
40.

How big is angle x?

a)

312

b)

48

c)

132

d)

228

41.
In the following diagram line r is parallel to line s. Which of the following statements must be true?
a)
m∠3=m∠5
b)
m∠5=m∠4
c)
m∠2 + m∠3 = 180˚
d)
m∠2=m∠4
42.
Given: line t II line s and neither is perpendicular to line g.  Which of the following is false?
a)
m∠2 + m∠5 = 180°
b)
m∠1 = m∠7
c)
m∠3 + m∠5 = 180°
d)
m∠2 = m∠3
43.
In the diagram below ∠2≅∠3.  Which of the following must be true?
a)
r ⊥ t
b)
m∠8 = m∠6
c)
m∠4 = m∠6
d)
m∠5 = m∠6
44.

Which two angles are supplementary

a)

∠1 and ∠3

b)

∠2 and ∠6

c)

∠4 and ∠6

d)

∠7 and ∠8

45.

Which two angles are corresponding?

a)

4 and 8

b)

4 and 6

c)

1 and 2

d)

2 and 8

46.

If angle 2 is 70 degrees, what is the measure of angle 4?

a)

70

b)

110

c)

20

d)

180

47.

If angle 2 is 70 degrees, what is the measure of angle 1?

a)

70 degrees

b)

20 degrees

c)

110 degrees

d)

180 degrees

48.

If angle 2 is 70 degrees what is the measure of angle 6?

a)

180

b)

110

c)

20

d)

70

49.

If angle 2 is 70 degrees what is the measure of angle 3?

a)

180

b)

20

c)

110

d)

70

50.

If angle 2 is 70 degrees what is the measure of angle 7?

a)

70

b)

110

c)

180

d)

20

51.

If angle 6 measures 106 degrees what is the measure of angle 7?

a)

106

b)

74

c)

90

d)

180

52.

If angle 6 measures 106, what is the measure of angle 1?

a)

106

b)

74

c)

90

d)

180

53.

What is the vertical angle of angle 4?

a)

1

b)

2

c)

3

d)

4

54.

What is the vertical angle of angle 7?

a)

5

b)

6

c)

7

d)

8

55.

Are angles 1 and 3 congruent to each other?

a)

No, because they are supplementary.

b)

No, because they are vertical.

c)

Yes, because they are next to each other.

d)

Yes, because they are on the same line.

56.

Are angles 2 and 7 congruent to each other?

a)

No, because they are on opposite sides.

b)

No, because they are alternate interior.

c)

Yes, because they are alternate interior.

d)

Yes, because they are alternate exterior.

57.

Lines A and B are...

a)

Perpendicular

b)

Parallel

58.

Line T is...

a)

Parallel

b)

Perpendicular

c)

Transversal

59.

What do complementary angles add up to?

a)

180

b)

90

60.

What do supplementary angles add up to?

a)

90

b)

180

61.

If an angle measures 60 degrees, is it....

a)

acute

b)

obtuse

c)

right

d)

straight

62.

If an angle measures 91 degrees, it is...

a)

acute

b)

obtuse

c)

right

d)

straight

63.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
64.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
65.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
66.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
67.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
68.
a)
146
b)
34
c)
36
d)
136
69.
a)
151
b)
147
c)
118
d)
62
70.
a)
61
b)
153
c)
27
d)
146
71.
a)
18
b)
162
c)
141
d)
57
72.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
73.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
74.
Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees)
a)
95
b)
85
c)
35
d)
45
75.
What is the sum of the angles inside a triangle?
a)
90
b)
180
c)
360
76.
What line type is highlighted in red?
a)
Parallel Lines
b)
A Line Segment
c)
A Transversal
d)
A Wibbly Wobbly Line
77.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
78.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
79.

The angles in a triangle always add up to

a)

90 degrees

b)

80 degrees

c)

180 degrees

d)

100 degrees

80.

2x + x + 21 = 180

Solve for x

a)

x = 67

b)

x = 79.5

c)

x = 53

d)

x = 100.5

81.

Find the measure of the missing angle.
(the red box = 90)

a)

90o

b)

100

c)

130o

d)

50o

82.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
83.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
84.

Solve for x:

-5x - 17 = 13

a)

x = 4

b)

x = -4

c)

x = -6

d)

x = 20

85.
What is the measure of the missing angle?
a)
82
b)
43
c)
55
d)
180
86.

Find the measure of each angle indicated.

a)

50°

b)

35°

c)

100°

d)

55°

87.

Solve for x:

4x - 9 = 19

a)

x = 2.5

b)

x = 7

c)

x = 40

d)

x = 2

88.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

89.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

90.

Practice 1a: Name a pair of complementary angles

a)

1 and 2\angle1\ and\ \angle2

b)

3 and 2\angle3\ and\ \angle2

c)

4 and 5\angle4\ and\ \angle5

d)

3 and 5\angle3\ and\ \angle5

91.

Find m2.m\angle2.  

a)

 65°65\degree  

b)

 180°180\degree  

c)

 115°115\degree  

92.

Find  m2.m\angle2.  

a)

 131°131\degree  

b)

 180°180\degree  

c)

 49°49\degree  

93.



(a)  

94.



(a)  

95.



(a)  

96.



(a)  

97.



(a)  

98.



(a)  

99.



(a)  

100.

 PQS\angle PQS  

(a)  

101.

 TQR\angle TQR  

(a)  

102.

How comfortable are you (now) with naming special angle pairs?

a)

Very comfortable

b)

Comfortable

c)

Not very comfortable

d)

Not comfortable

e)

What's a special angle pair?

103.

Find the value of the missing angle a...

a)

76

b)

284

c)

294

d)

66

104.

Find the value of the missing angle a...

a)

81

b)

71

c)

279

d)

289

105.

Find the value of the missing angle a...

a)

121

b)

111

c)

211

d)

201

106.

Find the value of the missing angle a...

a)

145

b)

154

c)

235

d)

253

107.

Find the value of the missing angle a...

a)

50

b)

60

c)

55

d)

65

108.

Find the value of the missing angle a...

a)

90

b)

100

c)

80

d)

70

109.

Find the value of the missing angle a...

a)

177

b)

176

c)

167

d)

187

110.

Find the value of the missing angle a...

a)

67

b)

76

c)

57

d)

75

111.

Find the value of the missing angle a...

a)

125

b)

152

c)

135

d)

153

112.

Find the value of the missing angle a...

a)

74

b)

47

c)

64

d)

46

113.

What is the name of this shape...?

a)

Square

b)

Rectangle

c)

Diamond

d)

Rhombus

114.

What is the name of this shape...?

a)

Square

b)

Rectangle

c)

Diamond

d)

Rhombus

115.

What is the name of this shape...?

a)

Square

b)

Rectangle

c)

Diamond

d)

Rhombus

116.

What is the name of this shape...?

a)

Kite

b)

Parallelogram

c)

Trapezium

d)

Rhombus

117.

What is the name of this shape...?

a)

Kite

b)

Parallelogram

c)

Trapezium

d)

Rhombus

118.

Find the size of angle x

a)

210o

b)

240o

c)

150o

d)

140o

119.

Find the size of angle x

a)

100o

b)

110o

c)

90o

d)

105o

120.

Find the size of angle x

a)

200o

b)

160o

c)

170o

d)

150o

121.

Find the size of angle x

a)

63o

b)

103o

c)

83o

d)

43o

122.

Find the size of angle x

a)

21o

b)

41o

c)

329o

d)

31o

123.

Find the size of angle x

a)

48o

b)

218o

c)

128o

d)

308o

124.

Find the size of angle x

a)

24o

b)

34o

c)

14o

d)

44o

125.

Find the size of angle x

a)

55o

b)

65o

c)

75o

d)

45o

126.

Find the size of angle x

a)

74o

b)

106o

c)

109o

d)

35o

127.

Find the size of angle x

a)

87o

b)

113o

c)

100o

d)

67o

128.

Find the size of angle x

a)

90o

b)

83o

c)

167o

d)

77o

129.

Find the size of angle x

a)

51o

b)

127o

c)

66o

d)

76o

130.

Find the size of angle x

a)

104o

b)

25o

c)

19o

d)

256o

131.

Which of these could not be the interior angles of a quadrilateral?

a)

63o, 77o, 42o, 205o

b)

108o, 54o, 145o, 53o

c)

140o, 50o, 145o, 25o

d)

82o, 65o, 102o, 110o