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Recycling Drive: Angle Layouts

Solve angle equations for recycling-drive equipment using complementary, supplementary, vertical, and adjacent angles.

Grade 7MathInteractive · Printable

Aligned to7.G.B.5

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students write and solve equations using complementary, supplementary, vertical, and adjacent angles.
Students use angle relationships to find unknown measures in recycling-drive layouts.
Students distinguish a variable's value from the angle measures it represents.

How to use

Have students write an equation before solving each problem. Use the final response to discuss why a negative variable value can still give valid angle measures.

Curriculum

Common Core standard covered

7.G.B.5

Use supplementary, complementary, vertical, and adjacent angles to write and solve equations for an unknown angle.

Preview

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Name Date

Recycling Drive: Angle Layouts

Use angle relationships to check equipment for collecting cans, bottles, and paper.

Layout Notes

Use the stated angle relationships. Write an equation on scratch paper before finding each unknown.

Two adjacent sections of a bottle-sorting guide form one opening. The entire opening measures (5x − 4)°.

Find x.

Two angles on a paper-container corner are complementary. Their measures are (x/3)° and (x + 10)°.

Find x.

Two straight braces cross beneath the can-collection table. A pair of vertical angles measures (8x − 13)° and (5x + 26)°. What is the measure of each of these angles?