Free Printable Unit 1: Segment and Angle Calculations

1.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

2.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

3.

a)

50°

b)

58°

c)

115°

d)

226°

4.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

5.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

6.

Find HG.

a)

8

b)

9

c)

10

d)

11

7.

Find AC

a)

7

b)

8

c)

22

d)

23

8.

Find KL.

a)

18

b)

15

c)

6

d)

20

9.

If GH = 8 and HI = 17, Find GI

a)

8

b)

9

c)

24

d)

25

10.

a)

MQ=4, PQ=8

b)

MQ=4, PQ=4

c)

MQ=8, PQ=4

d)

MQ=8, PQ=8

11.

a)

RM=6, MS=6

b)

RM=3, MS=3

c)

RM=3, MS=6

d)

RM=6, MS=3

12.

Find PM and MQ, given that M is the midpoint of the segment.

a)

PM = 22, MQ = 22

b)

PM = 11, MQ = 22

c)

PM = 11, MQ = 11

d)

PM = 22, MQ = 11

13.

Find TM and MS given that M is the midpoint of the segment.

a)

TM = 15, MS = 15

b)

TM = 7.5, MS = 7.5

c)

TM = 7.5, MS = 15

d)

TM = 15, MS = 7.5

14.

Ray QS bisects <PQR. Find the measure of <SQR.

a)

m<SQR = 32.5

b)

m<SQR = 65

c)

m<SQR = 130

d)

m<SQR = 97.5

15.

Ray QS bisects <PQR. Find the measure of <RQS.

a)

m<RQS = 149

b)

m<RQS = 298

c)

m<RQS = 150

d)

m<RQS = 74.5

16.

Find the measures of <EFJ and <JFG.

a)

m<EFJ = 90, m<JFG = 90

b)

m<EFJ = 45 m<JFG = 45

c)

m<EFJ = 180, m<JFG = 180

d)

m<EFJ = 45 m<JFG = 90

17.

Find the measures of <EFJ and <JFG.

a)

m<EFJ = 16, m<JFG = 16

b)

m<EFJ = 32, m<JFG = 16

c)

m<EFJ = 64, m<JFG = 64

d)

m<EFJ = 32, m<JFG = 32

18.

Ray QS bisects <PQR. Find the measure of <PQS.

a)

m<PQS = 20

b)

m<PQS = 40

c)

m<PQS = 10

d)

m<PQS = 30

19.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

20.

Name a pair of angles that are vertical.

a)

Angles 4 and 5

b)

Angles 7 and 9

c)

Angles 8 and 9

d)

Angles 5 and 7

21.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

22.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

23.

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

a)

135

b)

45

c)

125

d)

90

24.

Name a pair of angles that form a linear pair.

a)

Angles 1 and 2

b)

Angles 2 and 4

c)

Angles 5 and 8

d)

Angles 9 and 10

25.

Find the m∠1

a)

28

b)

152

c)

180

d)

62

26.

Find the m∠2

a)

28

b)

152

c)

180

d)

62

27.

Find the m∠3

a)

56

b)

124

c)

180

d)

66

28.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

29.

Find the m∠2

a)

67

b)

113

c)

180

d)

23

30.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

31.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

32.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

33.

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

34.

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

35.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

36.

What is the value of x?

a)

68

b)

86

c)

94

d)

112

37.

What is the measure of angle L?

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

38.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60^o

b)

30^o

c)

120^o

d)

180^o

39.

Find m∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

40.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

41.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

42.

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

43.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

44.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

45.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

46.

Find the missing angle measure and state the name of the pair of angles.

a)

124 degrees; Corresponding angles

b)

56 degrees; Corresponding angles

c)

124 degrees; Same-side interior angles

d)

56 degrees; Same-side interior angles

47.

If m∠1 = 121, what is m∠8?

a)

180

b)

242

c)

59

d)

121

48.

What is the measure of ∠2?

a)

$58^o$

Vertical angles

b)

$122^o$ supplementary

c)

$58^o$

Alternate Interior

d)

$122^o$

Alternate exterior

49.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

50.

Find the missing angle measure.

a)

Not enough information

b)

131

c)

49

Unit 1: Segment and Angle Calculations

Total questions: 50

Worksheet time: 25hrs 0mins

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