Angle Relationships Worksheet

Explore complementary, supplementary, vertical, and adjacent angles with this Grade 8 math worksheet, featuring diagrams and various question types.

Grade 8 Math GeometryAnglesComplementary, Supplementary, Vertical, and Adjacent Angles

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerMatchingTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.5

Topics

anglesgeometrygrade 8complementarysupplementaryverticaladjacent

8 sections · Free to use · Printable

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Angle Relationships

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Two angles whose sum is 90 degrees are called:

Supplementary angles

Complementary angles

Vertical angles

Adjacent angles

2. If two angles form a linear pair, they are always:

Complementary

Congruent

Supplementary

Acute

3. Angles that share a common vertex and a common side, but do not overlap, are called angles.

4. When two straight lines intersect, the angles opposite each other are called angles and are always .

5. Consider the diagram below:

a) What type of angle relationship is shown between angle 'x' and the 60° angle?

b) Calculate the measure of angle x.

6. Two angles are supplementary. If one angle measures 115 degrees, what is the measure of the other angle?

Match the angle pair description with its definition:

7. Complementary Angles

a. Angles opposite each other when two lines intersect

8. Supplementary Angles

b. Two angles whose sum is 180 degrees

9. Vertical Angles

c. Angles that share a common vertex and side

10. Adjacent Angles

d. Two angles whose sum is 90 degrees

11. All adjacent angles are also complementary.

True

False

12. Vertical angles are always congruent.

True

False

13. In the diagram below, lines AB and CD intersect at point E. If angle AEC measures 45 degrees, find the measures of angle BED, angle CEB, and angle AED.

Angle BED:

Angle CEB:

Angle AED: