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Angle Relationships - Printable Math Worksheets year 6 - Wayground

Angle Relationships

Jennifer Small

Created by Jennifer Small

20 questions

6th - 8th Grade

Math

Updated Oct 2026

Angle Relationships is a free printable mathematics worksheet for students in Grades 6–8. It uses 20 diagram- and measure-based questions to build fluency with classifying acute, obtuse, right, and straight angles; identifying complementary, supplementary, vertical, and adjacent angles; and recognizing angle bisectors. The worksheet includes 18 multiple-choice questions and 2 multiple-select questions. Students also use angle relationships to determine unknown measures, identify vertical angles by their labels, find supplements, and apply the fact that vertical angles are congruent. The progression from visual classification to relationship identification and numerical reasoning supports practice with both vocabulary and problem solving. A complete answer key is included, making this free printable worksheet useful for guided practice, independent work, homework, or review before an assessment.

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Angle Relationships

Total questions: 20

Name
Class
Date
1.
What type of angle is shown?
What type of angle is shown?
a)
acute
b)
obtuse
c)
right 
d)
straight
2.
What type of angle is shown?
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
3.
What type of angle is shown?
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
4.
What type of angle is shown?
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
5.
The angle relationship shown is -
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
6.
∠1 and ∠3 can best be described as -
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
7.
∠AOB and ∠COB can best be described as -
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
8.
The angle relationship shown is -
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
9.
If m∠1 = 30°, then m∠3 =
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
10.
Find the value of x.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
11.
Name the vertical angle to ∠h.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
12.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
13.
What is the value of x?
What is the value of x?
a)
37
b)
72
c)
108
d)
18
14.
Question Image
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
15.
complementary, supplementary, or neither?
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
16.
Find the supplement of the angle
Find the supplement of the angle
a)
160
b)
20
c)
-70
d)
180
17.
Find the missing angle.
Find the missing angle.
a)
60°
b)
70°
c)
50°
d)
140
18.

Choose all answers that apply: Find the angle measurements that are complementary to each other.

a)

75 and 105

b)

75 and 15

c)

25 and 65

d)

34 and 146

e)

38 and 52

19.

Choose all answers that apply. Which of the following angles are supplementary?

a)

42 and 48

b)

12 and 78

c)

78 and 102

d)

38 and 142

20.
∠1 and ∠2 are _____________

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

WaygroundAnswer Key

Angle Relationships

Total questions: 20

1.
b) obtuse
2.
c) right
3.
d) straight
4.
a) acute
5.
a) complementary angles
6.
c) vertical angles
7.
d) adjacent angles
8.
b) supplementary angles
9.
a) 30°
10.
b) 28°
11.
a) ∠f
12.
c) congruent (equal measures)
13.
a) 37
14.
a) x = 118
15.
b) Supplementary
16.
b) 20
17.
c) 50°
18.
b)

75 and 15

, c)

25 and 65

, e)

38 and 52

19.
d)

38 and 142

, c)

78 and 102

20.
c)

Adjacent

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FAQs

What does the Angle Relationships worksheet cover?

This Grade 6–8 worksheet covers angle classification and the relationships among complementary, supplementary, vertical, and adjacent angles. Its 18 multiple-choice and 2 multiple-select questions ask students to interpret diagrams, identify angle pairs, use congruent vertical angles, and calculate unknown measures and supplements.

How can I use this worksheet to teach angle relationships?

Begin by reviewing the visual definitions of acute, obtuse, right, and straight angles, then model how to distinguish adjacent, vertical, complementary, and supplementary pairs in a diagram. Use the later measure questions to connect each relationship to a calculation—for example, matching vertical angles or subtracting an angle from 180° to find its supplement—before assigning the remaining items for independent practice.

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

Watch for students confusing complementary angles, which total 90°, with supplementary angles, which total 180°, or labeling two nearby angles as vertical when they are adjacent. Students may also miss that vertical angles have equal measures, choose the wrong labeled angle in a diagram, or subtract from 180° when a vertical-angle measure should remain unchanged.

How do I assign and grade the Angle Relationships worksheet?

You can assign this Angle Relationships worksheet as a printable PDF or 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 printable format also supports classrooms that are reducing screen time.

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

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size so the angle diagrams, labels, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while students work through the angle-classification and relationship 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, 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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