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Q1.

Expert-verified

Pre-algebra

Found in: Page 699

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 sum of the measures of the interior angles of a convex 10-gon.

The sum of the measures of all interior angles of a convex 10-gon is $1440 °$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The polygon is convex 10-gon.

Step 2. Formula used.

The sum of the measure of the all-interior angles of a convex n-gon is $(n - 2) \times 180 °$ .

Step 3. Calculation.

Here, polygon is convex heptagon this is $n = 10$ .

Calculate the sum of the all-interior angle of a convex 10-gon.

$\begin{matrix} (n - 2) \times 180 ° = (10 - 2) \times 180 ° \\ = 8 \times 180 ° \\ = 1440 ° \end{matrix}$

Step 4. Conclusion.

The sum of the measures of all interior angles of a convex 10-gon is $1440 °$ .

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