Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-5 Exploring Angle Pairs - Practice and Problem-Solving Exercises: 32

Answer

The angles measure $35^o$ and $55^o$

Work Step by Step

Let x be the measure of the angle. The measure of the complement is $x+20$. Use the definition of complementary angles: $x+x+20=90$ $2x+20=90$ Subtract 20 from each side: $2x+20-20=90-20$ $2x=70$ Divide both sides by 2: $2x\div2=70\div2$ $x=35$ Find the measure of the complement. $90-35=55$
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