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Parallel Lines Cut by a Transversal - Degrees - Printable Math Worksheets 9th Grade - Wayground

Parallel Lines Cut by a Transversal - Degrees

Alisa Larsson

Created by Alisa Larsson

17 questions

9th Grade

Math

Updated Oct 2026

This Grade 9 mathematics worksheet develops students’ ability to identify angle relationships formed when parallel lines are cut by a transversal and use those relationships to determine unknown angle measures. The 17 multiple-choice questions include naming relationships such as vertical angles, interpreting given angle measures, and finding missing values from labeled angles. Students apply angle relationships across a series of numerical problems, including cases where a known angle leads to the measure of another labeled angle. The repeated practice helps reinforce when angles have equal measures and when students must reason from the diagram to select the correct value. This free printable worksheet includes a complete answer key, making it useful for independent practice, review, or a Grade 9 geometry check for understanding.

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Parallel Lines Cut by a Transversal - Degrees

Total questions: 17

Name
Class
Date
1.
Name the angle relationship.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
2.
Find m∠D.
Find m∠D.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
3.
If angle 6 is 25 degrees, how many degrees is angle 7?
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
4.
If the m∡1 = 118 o find m∡5

If the m∡1 = 118o find m∡5

a)

118o

b)

62o

c)

82o

d)

2o

5.
If the m∡7 = 62 o find m∡1

If the m∡7 = 62o find m∡1

a)

62o

b)

28o

c)

118o

d)

138o

6.
If the m∡3 = 81 o find m∡6

If the m∡3 = 81o find m∡6

a)

180o

b)

990

c)

9o

d)

81o

7.
If the m∡2 = 32 o find m∡3

If the m∡2 = 32o find m∡3

a)

132o

b)

32o

c)

148o

d)

58o

8.
If the m∡5 = 125 o find m∡1

If the m∡5 = 125o find m∡1

a)

125o

b)

35o

c)

55o

d)

100o

9.
If the m∡6 = 71 o find m∡3

If the m∡6 = 71o find m∡3

a)

171o

b)

19o

c)

109o

d)

71o

10.
If the m∡3 = 35 o find m∡8

If the m∡3 = 35o find m∡8

a)

35o

b)

550

c)

135o

d)

145o

11.
If the m∡7 = 60 o find m∡2

If the m∡7 = 60o find m∡2

a)

7o

b)

60o

c)

300

d)

120o

12.
If the m∡1 = 135 o find m∡2

If the m∡1 = 135o find m∡2

a)

135o

b)

550

c)

90o

d)

45o

13.
If the m∡4 = 123 o find m∡7

If the m∡4 = 123o find m∡7

a)

123o

b)

57o

c)

33o

d)

60o

14.
Find the missing angle.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
15.
If angle 6 is 25 degrees, how many degrees is angle 7?
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
16.
If angle 1 is 135 degrees, how many degrees is angle 3?
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
17.
Angle 1 = 27 o Find the measure of angle 4
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
WaygroundAnswer Key

Parallel Lines Cut by a Transversal - Degrees

Total questions: 17

1.
d) Vertical Angles
2.
b) ∠D=64°
3.
d) 155 degrees
4.
a)

118o

5.
c)

118o

6.
d)

81o

7.
b)

32o

8.
a)

125o

9.
d)

71o

10.
d)

145o

11.
b)

60o

12.
d)

45o

13.
b)

57o

14.
a) 47
15.
d) 155 degrees
16.
c) 135 degrees
17.
a) 27o

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FAQs

What does this parallel lines cut by a transversal worksheet cover?

This Grade 9 worksheet uses 17 multiple-choice questions to practise identifying relationships such as vertical angles and using a given angle measure to find another labeled angle. Students repeatedly connect angle labels and numerical measures, including missing-angle problems, to select the correct value.

How can I use this worksheet to teach angle relationships with parallel lines?

Introduce the angle diagram and have students first name the relationship shown before calculating any measures. Then model how a known value, such as 25°, 62°, or 135°, can be used to determine another labeled angle, asking students to explain whether the relationship preserves the measure or requires a supplementary-angle calculation. Use the multiple-choice options to discuss why tempting alternatives are incorrect.

What mistakes should I watch for on this angle relationships worksheet?

Watch for students confusing vertical angles with corresponding or alternate angles when naming the relationship. In the calculation items, students may copy the given measure without checking the angle relationship, use 180° when the angles have equal measures, or select a supplementary value when the diagram indicates equal angles. Misreading the numbered angle labels can also lead to an otherwise accurate calculation being applied to the wrong angle.

How do I assign and grade this parallel lines and transversal worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 17 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option can also support schools that want to reduce screen time while students practise angle measures.

How can I differentiate this angle relationships worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the 17 multiple-choice items and angle labels are easier to read. You can also select a dyslexia-friendly font or translate the worksheet into another language, depending on student needs. These changes preserve the worksheet’s focus on identifying angle relationships and finding missing measures.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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