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 - Apply What You've Learned - Page 40: a


$\angle$CHB and $\angle$BHA

Work Step by Step

$\angle$CHB, $\angle$BHA, and $\angle$AHG form a straight angle. This means that these three angles, when added together, equal 180$^{\circ}$. $\angle$AHG is labelled with a right angle, which means that $\angle$AHG has an angle measure of 90$^{\circ}$. If m$\angle$AHG is 90, then the other two angles must also equal 90 when added together. As complementary angles equal 90$^{\circ}$, and $\angle$CHB and $\angle$BHA equal 90$^{\circ}$, these two angles are adjacent complimentary angles.
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