Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - Common Core Cumulative Standards Review - Selected Response: 14

Answer

45

Work Step by Step

Let a be the measure of the angle. By the definition of supplement, the measure of the supplement is $180-a$. Convert the sentence into an expression. $a=\frac{1}{3}(180-a)$ multiply each side by 3 $a\times3=\frac{1}{3}(180-a)\times3$ $3a=180-a$ add a to each side $3a+a=180-a+a$ $4a=180$ divide each side by 4 $4a\div4=180\div4$ $a=45$
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