Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - Chapter Review - Page 421: 5

Answer

$120$

Work Step by Step

The measure of an interior angle of a polygon is given by the following formula: m of an interior angle = $\frac{(n - 2)(180)}{n}$, where $n$ is the number of sides in the polygon. A hexagon has six sides, so we plug this information into the formula to find the measure of one of its interior angles: m of an interior angle = $\frac{(6 - 2)(180)}{6}$ Evaluate parentheses first: m of an interior angle = $\frac{(4)(180)}{6}$ Multiply first: m of an interior angle = $\frac{720}{6}$ Divide to solve: m of an interior angle = $120$
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