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 136: 14



Work Step by Step

Let $x$ be the measure of the supplement. The measure of the angle is $2x+3$. $\overset{twice}{2x}\underset{three\ more\ than}{+3}$. $x+(2x+3)=180\longrightarrow$ definition of supplement $3x+3=180\longrightarrow$ combine like terms $3x=177\longrightarrow$ subtraction property of equality $x=59\longrightarrow$ division property of equality Use substitution to find the measure of the angle. $2x+3=2(59)+3=118+3=121$
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