Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - 10-1 Areas of Parallelograms and Triangles - Apply What You've Learned - Page 622: a


$\angle$ ABC = 135 $^{\circ}$

Work Step by Step

The equation to find the measure of a single angle in any given polygon with n number of sides is $\frac{180(n-2)}{n}$. $\angle$ ABC is red and is therefore part of the larger, red shape. This shape has 8 sides. Therefore, plug 8 into the equation and solve. $\frac{180(n-2)}{n}$ $\frac{180(8-2)}{8}$ $\frac{180(6)}{8}$ $\frac{1080}{8}$ = 135 $^{\circ}$
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