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Back to Exercise: Use facts about supplementary, complementary, vertical, and adjacent angles to solve simple equations

Angle Relationships and Equations

For each problem, identify the angle relationship, write an equation, solve, and verify your answer.

Grade 7·21 problems·~35 min·Common Core Math - Grade 7·standard·7-g-b-5
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A

Recall / Warm-Up

1.

Two angles are supplementary. One angle measures 47°. What is the measure of the other angle?

2.

Solve for x: 3x + 12 = 90. What is the value of x?

3.

Two angles are complementary. One angle measures 62°. What is the measure of the other angle?

B

Fluency Practice

A straight horizontal line divided by a ray into two angles: (x + 24)° on the left and 82° on the right.
1.

Two angles form a straight line. One angle measures (x+24)°(x + 24)\degree and the other measures 82°. Find the value of xx.

2.

Two angles are complementary. One angle measures (2x−10)°(2x - 10)\degree and the other measures 56°. Find the value of xx.

Two intersecting lines with vertical angles labeled (5x + 3)° and (3x + 19)°.
3.

Two intersecting lines form vertical angles. One angle measures (5x+3)°(5x + 3)\degree and its vertical angle measures (3x+19)°(3x + 19)\degree. Find the measure of the angle.

4.

Find the measure of the supplement of a 73° angle.

5.

Two straight lines cross at a point. One of the four angles measures 68°. What are the measures of the other three angles, listed in clockwise order starting from the 68° angle?

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