Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - Common Core Cumulative Standards Review - Selected Response - Page 135: 5



Work Step by Step

Let A be the angle, let C be the measure of its complement, and let S be the measure of its supplement. $C+S=114\longrightarrow$ given $(m\angle A+C)+(m\angle A+S)=90+180\longrightarrow$ definition of complement and supplement $2m\angle A+C+S=270\longrightarrow$ combine like terms $2m\angle A+114=270\longrightarrow$ substitution $2m\angle A=156\longrightarrow$ subtraction property of equality $m\angle A=78\longrightarrow$ division property of equality
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