Geometry: Common Core (15th Edition)

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

Chapter 3 - Parallel and Perpendicular Lines - Common Core Cumulative Standards Review - Selected Response - Page 214: 18

Answer

The measure of the angle complementary to the $56^{\circ}$ angle is $34^{\circ}$.

Work Step by Step

Complementary angles add up to $90^{\circ}$; therefore, if one complementary angle is $56^{\circ}$, then its complement $x$ is $90^{\circ} - 56^{\circ}$: $x = 90^{\circ} - 56^{\circ}$ Subtract to solve for $x$: $x = 34^{\circ}$ The measure of the angle complementary to the $56^{\circ}$ angle is $34^{\circ}$.
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