Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find $m ∠ 1$ .

The measure of the angle is $62 °$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The figure is shown below.

Step 2. Concept used.

If two angles placed adjacent to each other form a right angle, the angles are called complementary angles and the sum of their measures is $90 °$ .

Step 3. Calculation.

Write the sum of the measures of the angles as being equal to $90 °$ .

$\begin{matrix} m ∠ 1 + 28 ° = 90 ° \\ m ∠ 1 = 90 ° - 28 ° \\ = 62 ° \end{matrix}$

Step 4. Conclusion.

The measure of the angle that forms a right angle when placed adjacent to an angle measuring $28 °$ is $62 °$ .

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