Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 3 - Section 3.2 - Corresponding Parts of Congruent Triangles - Exercises - Page 138: 35c



Work Step by Step

Given: A roof truss with AB=8 and $\angle$HAF=37$^{\circ}$ also $\angle$ABD=90$^{\circ}$ as we all know in a roof truss opposite triangles are always congruent that means $\triangle$ABD is congruent to $\triangle$AFH therefore, $\angle$HAF=$\angle$BAD=37$^{\circ}$ now we have to find m$\angle$ADB so m$\angle$BAD+$\angle$ADB+$\angle$ABD=180$^{\circ}$ 37+$\angle$ADB+90=180 $\angle$ADB+127=180 $\angle$ADB=180-127 $\angle$ADB=153$^{\circ}$
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