Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.7 - The Formal Proof of a Theorem - Exercises - Page 53: 22

Answer

x=55$^{\circ}$ m$\angle$2=70$^{\circ}$

Work Step by Step

Adjacent angles whose outer edges form a straight line are supplementary m$\angle$2+m$\angle$3=180$^{\circ}$ x+15+2x=180$^{\circ}$ 3x=165 x=55$^{\circ}$ m$\angle$2=x+15=65+15=70$^{\circ}$
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