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: 18

Answer

35

Work Step by Step

Let a be the measure of the angle. The measure of the complement is $90-a$. The measure of the supplement is $180-a$. Convert the sentence to an expression. $(90-a)+(180-a)=200$ combine like terms $270-2a=200$ subtract 270 from each side $270-2a-270=200-270$ $-2a=-70$ divide each side by -2 $-2a\div -2=-70\div -2$ $a=35$
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