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Angle Relationships Worksheet

Explore and identify complementary, supplementary, vertical, and adjacent angles with this grade 10 worksheet.

Grade 10 Math GeometryAnglesComplementary, Supplementary, Vertical, and Adjacent Angles
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.5

Topics

geometryanglescomplementarysupplementaryverticaladjacent
7 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 provide the best answer. Show all your work where applicable.

1. Two angles are   if their sum is 90 degrees.

2. When two straight lines intersect, the angles opposite each other are called   angles.

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

4. Two angles are   if their sum is 180 degrees.

5. If angle A measures 35 degrees, what is the measure of its complementary angle?

a

55 degrees

b

145 degrees

c

35 degrees

d

90 degrees

6. Which of the following pairs of angles are supplementary?

a

40° and 50°

b

60° and 120°

c

90° and 90°

d

Both b and c

7. Look at the diagram below. Identify one pair of vertical angles and one pair of adjacent angles.

1234

Vertical Angles:  

Adjacent Angles:  

8. All adjacent angles are complementary.

T

True

F

False

9. Vertical angles are always equal in measure.

T

True

F

False

10. Two angles are supplementary. One angle measures (2x + 10) degrees and the other measures (3x - 30) degrees. Find the measure of each angle.