# Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 126: 26

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

#### Work Step by Step

It is given that $m\angle A=2m\angle B$. $m\angle A+m\angle B=90\longrightarrow$ definition of complementary $2m\angle B+m\angle B=90\longrightarrow$ substitution $3m\angle B=90\longrightarrow$ combine like terms $m\angle B=30\longrightarrow$ division property of equality Substitute to find $m\angle A$. $m\angle A=2m\angle B=2(30)=60$

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