Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises: 15

Answer

The unknown angle is 32$^{\circ}$

Work Step by Step

The sum of the angle in a Triangle is 180$^{\circ}$. Here we will solve for the unknown angle. We will label it $X$. Therefore: 180$^{\circ}$ = 90$^{\circ}$ + 58$^{\circ}$ + $X$ $X$ = 180$^{\circ}$ - (90$^{\circ}$ + 58$^{\circ}$) $X$ = 180$^{\circ}$ - (148$^{\circ}$) $X$ = 32$^{\circ}$
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