Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 366: 51


$m$ of the interior angles in a $25$-gon = $4140^{\circ}$

Work Step by Step

According to the Polygon Angle-Sum Theorem, the sum of all the measures of the interior angles of a polygon is $(n - 2)180$, where $n$ is the number of sides of the polygon. We have a polygon that has $25$ sides. $m$ of the interior angles in a $25$-gon = $(25 - 2)180$ $m$ of the interior angles in a $25$-gon = $(23)180$ $m$ of the interior angles in a $25$-gon = $4140^{\circ}$
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