Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Common Core Cumulative Standards Review - Selected Response - Page 280: 11


$x = \frac{169}{5}$ or $x = 33.8$

Work Step by Step

According to the exterior angle theorem, an exterior angle is congruent to the sum of the two opposite interior angles. Let us set up that equation to solve for $x$: $5x - 6 = 75 + 44$ Do the addition on the right side of the equation: $5x - 6 = 163$ Add $6$ to both sides of the equation to isolate the $x$ term on the left side of the equation: $5x = 169$ Divide both sides by $5$ to solve for $x$: $x = \frac{169}{5}$ or $x = 33.8$
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