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 measure of an exterior angle of a regular pentagon.

The measure of an exterior angle of a regular pentagon is $72 °$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The polygon is regular pentagon.

Step 2. Formula used.

All exterior angles of a regular polygon are equal and the measure of an exterior angle of regular n-gon, is $180 {}^{\circ}- \frac{(n - 2) \times 180 °}{n}$ .

Step 3. Calculation.

Here, polygon is regular pentagon that is $n = 5$ .

Calculate the measure of the exterior angle by substituting 5 for n.

$\begin{matrix} 180 ° - \frac{(5 - 2) \times 180 °}{5} = 180 ° - \frac{3 \times 180 °}{5} \\ = 180 ° - 108 ° \\ = 72 ° \end{matrix}$

Step 4. Conclusion.

The measure of an exterior angle of a regular pentagon is $72 °$ .

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Pre-algebra

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Short Answer

Find the measure of an exterior angle of a regular pentagon.

Step by Step Solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Pre-algebra

Answers without the blur.

Short Answer

Find the measure of an exterior angle of a regular pentagon.

Step by Step Solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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