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Grade 8 Angle Relationships Worksheet

Explore and identify various angle relationships including complementary, supplementary, vertical, and corresponding angles with this Grade 8 math worksheet.

Grade 8 Math GeometryAngle Relationships
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

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

Topics

Grade 8MathGeometryAnglesComplementarySupplementaryVerticalCorresponding
7 sections · Free to use · Printable
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Grade 8 Angle Relationships

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

1. What is the relationship between Angle 1 and Angle 2 in the diagram below?

12
a

Complementary

b

Supplementary

c

Vertical

d

Adjacent

2. If two angles are supplementary and one angle measures 75°, what is the measure of the other angle?

a

15°

b

90°

c

105°

d

180°

3. Two angles whose sum is 90° are called   angles.

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

5. A linear pair consists of two   angles that form a straight line.

6. In the diagram below, lines 'm' and 'n' are parallel and intersected by a transversal 't'. Identify a pair of corresponding angles and explain why they are corresponding.

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7. If two angles are complementary and their measures are (2x + 10)° and (3x - 5)°, find the value of x.

8. All adjacent angles are also complementary angles.

T

True

F

False

9. Vertical angles are always congruent.

T

True

F

False

Match each angle relationship with its definition.

10. Complementary Angles

 

a. Angles that share a common vertex and a common side.

11. Supplementary Angles

 

b. Two angles whose sum is 90°.

12. Vertical Angles

 

c. Two angles whose sum is 180°.

13. Adjacent Angles

 

d. Opposite angles formed by the intersection of two lines.