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Adjacent and Vertical Angles - Printable Math Worksheets year 8 - Wayground

Adjacent and Vertical Angles

Ann Swanberg

Created by Ann Swanberg

20 questions

8th Grade

Math

Updated Sept 2026

This Grade 8 mathematics worksheet gives students focused practice with adjacent and vertical angles. Across 20 items, students identify angle relationships in diagrams, distinguish adjacent from vertical pairs, select all valid angle pairs, name angles that are vertical or adjacent, and use angle relationships to find missing measures. The worksheet includes one fill-in-the-blank item, 16 multiple-choice questions, and three multiple-select questions, so students apply both vocabulary and visual reasoning. Students also choose equations and solve for unknown angle measures, including problems that require using the measures of related angles. It is designed for Grade 8 math instruction, guided practice, independent review, or assessment of angle-pair relationships. This free printable worksheet includes a complete answer key, giving teachers a ready-to-use resource for checking students’ classifications, equation choices, and calculations.

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WaygroundWorksheets

Adjacent and Vertical Angles

Total questions: 20

Name
Class
Date
1.
What is the measure of angle x?

What is the measure of angle x?

(a)  

2.
What type of pair are x and the angle that measures have?

What type of pair are x and the angle that measures 148°148\degree have?

a)

Supplementary

b)

Complementary

c)

Adjacent

d)

Vertical

3.
Which equation would help find the measure of ?

Which equation would help find the measure of ∠x\angle x  ?

a)

94+x=117

b)

117+x =94

c)

117+94=x

4.
What is the measure of angle x?

What is the measure of angle x?

a)

117

b)

94

c)

23

5.
The measure of ∠BAD = 110°. What is the measure of ∠CAD?

The measure of ∠BAD = 110°. What is the measure of ∠CAD?

a)

82o

b)

90o

c)

72o

d)

62o

6.
What is the measure of ∠BAD?

What is the measure of ∠BAD?

a)

123o

b)

23o

c)

90o

d)

180o

7.
Which are pairs of vertical angles? Select all that apply.

Which are pairs of vertical angles? Select all that apply.

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

e)

∠DOB & ∠COA

8.
Which are pairs of adjacent angles? Select all that apply.

Which are pairs of adjacent angles? Select all that apply.

a)

∠COB & ∠DOA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

e)

∠COB & ∠COA

9.
What angle pair is pictured?

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Complementary Angles

10.
Find the missing angle. Find x.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
11.
Find the value of x?

Find the value of x?

a)

16

b)

148

c)

68

d)

32

12.
Name the angle relationship shown.

Name the angle relationship shown.

a)

Adjacent

b)

Vertical

c)

Complementary

d)

Supplementary

e)

No relationship

13.
∠1 and ∠2 are _____________

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

e)

Not related

14.
What angle is vertical to angle 2?

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

15.
Name a pair of vertical angles in the figure.

Name a pair of vertical angles in the figure.

a)

∠1 and ∠4

b)

∠6 and ∠5

c)

∠2 and ∠4

d)

∠1 and ∠6

16.
If m∠1 = 30°, then m∠3 =
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
17.
Which angle has the same measure as ?

Which angle has the same measure as  ∠2\angle2 ?

a)


∠1\angle1  

b)

∠3\angle3  

c)

∠4\angle4  

18.
True or False. Angles 7 and 8 are adjacent angles.

True or False. Angles 7 and 8 are adjacent angles.

a)

True

b)

False

19.
True or False. Angles 2 and 3 are adjacent angles.

True or False. Angles 2 and 3 are adjacent angles.

a)

True

b)

False

20.

Which of the following angle pairs are adjacent? (Choose ALL that apply)

a)
Which of the following angle pairs are adjacent? (Choose ALL that apply)
b)
Which of the following angle pairs are adjacent? (Choose ALL that apply)
c)
Which of the following angle pairs are adjacent? (Choose ALL that apply)
d)
Which of the following angle pairs are adjacent? (Choose ALL that apply)
WaygroundAnswer Key

Adjacent and Vertical Angles

Total questions: 20

1.
148
2.
d)

Vertical

3.
a)

94+x=117

4.
c)

23

5.
a)

82o

6.
a)

123o

7.
c)

∠COB & ∠AOD

, e)

∠DOB & ∠COA

8.
b)

∠AOD & ∠AOC

, d)

∠BOD & ∠AOD

, e)

∠COB & ∠COA

9.
c)

Vertical Angles

10.
a) 20o
11.
d)

32

12.
a)

Adjacent

13.
c)

Adjacent

14.
d)

∠5

15.
a)

∠1 and ∠4

16.
a) 30°
17.
c)

∠4\angle4  

18.
b)

False

19.
a)

True

20.
a) , d)

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FAQs

What does the Adjacent and Vertical Angles worksheet cover?

This Grade 8 worksheet practices identifying adjacent and vertical angle pairs from diagrams and finding unknown angle measures. Its 20 items use fill-in-the-blank, multiple-choice, and multiple-select formats, requiring students to classify relationships, select all valid pairs, choose equations, and solve for x.

How can I use this worksheet to teach adjacent and vertical angles?

Introduce the defining features of each relationship with a labeled angle diagram, then model how to check whether two angles share a vertex and side or lie opposite one another. Use the worksheet’s classification and multiple-select items for guided discussion before assigning the equation and missing-angle questions independently; ask students to explain why each selected pair is adjacent or vertical.

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

Students may select any angles that appear close together as adjacent without checking that they share a common side, or identify angles as vertical without confirming that they are opposite angles formed by intersecting lines. In the multiple-select items, they may choose only one correct pair, and in the calculation items they may choose an incorrect equation or solve for x without using the displayed angle relationship.

How do I assign and grade this Adjacent and Vertical Angles worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the fill-in-the-blank, multiple-choice, and multiple-select items. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size around the angle diagrams and response choices, or enable a dyslexia-friendly font for students who benefit from that presentation. You can also translate the worksheet text into another language while students work with the same adjacent- and vertical-angle questions.

Where can I find more worksheets like this on Wayground?

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

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