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 the value of y.

The value of y is $43 °$ .

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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. Formula used.

The angle sum property of quadrilateral,

$a 1 + a 2 + a 3 + a 4 = 360 °$

Step 3. Calculation.

Substitute the values of angles.

$\begin{matrix} 137 ° + 97 ° + (2 y - 3) + y = 360 ° \\ 137 ° + 97 ° + 2 y - 3 + y = 360 ° \\ 231 ° + 3 y = 360 ° \end{matrix}$

Shifting the right-hand side to left-hand side,

$\begin{array}{l} 3 y = 360 ° - 231 ° \\ 3 y = 129 ° \end{array}$

Cross-multiplying the values,

$\begin{matrix} y = \frac{129 °}{3} \\ = 43 ° \end{matrix}$

Step 4. Conclusion.

The value of y is $43 °$ .

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Pre-algebra

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Short Answer

Find the value of y.

Step by Step Solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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