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Parallel Lines & Transversals Angle Relationships Test 11/2/22 - Printable Math Worksheets 8th Grade - Wayground

Parallel Lines & Transversals Angle Relationships Test 11/2/22

Jessica Powell

Created by Jessica Powell

20 questions

8th Grade

Math

Updated Oct 2026

Parallel Lines & Transversals Angle Relationships Test 11/2/22 is a Grade 8 mathematics worksheet with 20 multiple-choice questions on angle relationships formed when parallel lines are intersected by a transversal. Students identify transversals, supplementary angles, interior and exterior angles, vertical angles, corresponding angles, and alternate interior angles while using these relationships to determine unknown angle measures. The worksheet also asks students to solve for variables such as x and y in angle problems, connecting geometric relationships with algebraic reasoning. Its repeated multiple-choice format gives students practice recognizing the correct relationship, selecting an appropriate equation, and checking numerical solutions. This free printable worksheet includes a complete answer key for efficient review, independent practice, homework, or a classroom assessment.

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Parallel Lines & Transversals Angle Relationships Test 11/2/22

Total questions: 20

Name
Class
Date
1.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
2.
What is a transversal?
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
3.

Angles on the outside of the parallel lines are_________?

a)

Interior Angles

b)

Parallel Angles

c)

Transversal Angles

d)

Exterior Angles

4.
Find the value of x.
Find the value of x. 
a)
x = 133
b)
x = 47
5.
Solve for y.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
6.
Find y.
Find y.
a)
50
b)
130
7.
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
8.
Solve for x.
Solve for x.
a)
8
b)
11
c)
5
d)
-5
9.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

10.
Find y.

Find y.

a)

80°80\degree  

b)

100°100\degree  

11.
Solve for y.

Solve for y.

a)

y=55y=55  

b)

y=35y=35  

c)

y=70y=70  

d)

y=45y=45  

12.
Find the value of x.
Find the value of x. 
a)
x = 133
b)
x = 47
13.
What is the value of x?
What is the value of x?
a)
60
b)
26
c)
14
d)
10
14.
1) Given the two parallel lines cut by a transversal. What is the vertical angle to angle 4?

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

15.
What is the relationship between angles A and B?

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

16.
Find D
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
17.
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
18.
Name the alternate interior angle to angle 3.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
19.
What is the value of x?
What is the value of x?
a)
60
b)
26
c)
14
d)
10
20.
State the angle relationship and find the measure of angle 2
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
b)
Alternate Exterior
52
c)
Alternate Interior
127
d)
Alternate Interior
52
WaygroundAnswer Key

Parallel Lines & Transversals Angle Relationships Test 11/2/22

Total questions: 20

1.
a) 180
2.
a) A line that intersects two or more lines
3.
d)

Exterior Angles

4.
a) x = 133
5.
d) y = 10
6.
b) 130
7.
a) 27o
8.
d) -5
9.
a)

Angles that add up to 180°

10.
a)

80°80\degree  

11.
b)

y=35y=35  

12.
a) x = 133
13.
c) 14
14.
d)

Angle 7

15.
b)

alternate interior

16.
b) ∠D=64°
17.
d) 155 degrees
18.
b) 5
19.
c) 14
20.
c) Alternate Interior
127

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FAQs

What does this Parallel Lines & Transversals worksheet cover?

This Grade 8 worksheet uses 20 multiple-choice questions to practice identifying transversals, supplementary angles, interior and exterior angles, vertical angles, corresponding angles, and alternate interior angles. Students apply these relationships to find unknown angle measures and solve for variables such as x and y, building both geometric reasoning and algebraic problem-solving skills.

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

Introduce the vocabulary first by reviewing what a transversal is and how supplementary, vertical, corresponding, and alternate interior angles are identified. Then model one angle-measure problem and one solve-for-x or solve-for-y problem, asking students to name the relationship before choosing an answer. Use the multiple-choice options to discuss why a tempting value, such as 90° instead of 180° for supplementary angles, does not fit.

What mistakes should I watch for when students complete this worksheet?

Watch for students confusing supplementary angles, which total 180°, with complementary angles, which total 90°, or mixing up interior and exterior positions. Students may also identify the wrong related angle when using vertical, corresponding, or alternate interior relationships. In the variable questions, check that they select the correct angle relationship before solving and do not lose a negative sign, as one item has x = -5 as the correct result.

How do I assign and grade this worksheet?

The Parallel Lines & Transversals Angle Relationships Test is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option also supports classrooms that want to reduce screen time.

How can I differentiate this parallel-lines angle worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the angle vocabulary and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the angle-relationship and solve-for-variable items in a format that works for them.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, including 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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