Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 126: 27


$m\angle A=30$ $m\angle B=60$

Work Step by Step

It is given that $m\angle A=\frac{1}{2}m\angle B$. $m\angle A+m\angle B=90\longrightarrow$ definition of complementary $\frac{1}{2}m\angle B+m\angle B=90\longrightarrow$ substitution $1.5m\angle B=90\longrightarrow$ combine like terms $m\angle B=60\longrightarrow$ division property of equality Substitute to find $m\angle A$. $m\angle A=2m\angle B=\frac{1}{2}(60)=30$
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