Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises - Page 565: 16


The unknown angle is 67$^{\circ}$.

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$^{\circ}$ = 46$^{\circ}$ + 67$^{\circ}$ + $X$ $X$ = 180$^{\circ}$ - (46$^{\circ}$ + 67$^{\circ}$) $X$ = 180$^{\circ}$ - (113$^{\circ}$) $X$ = 67$^{\circ}$
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