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: 24

Answer

x=120$^{\circ}$ m$\angle$4=40$^{\circ}$

Work Step by Step

Adjacent angles with outer edges that form a straight line are supplementary m$\angle$1+m$\angle$4=180$^{\circ}$ x+20+$\frac{x}{3}$=180 $\frac{4x}{3}$=160 x=120$^{\circ}$ m$\angle$4=$\frac{x}{3}$=$\frac{120}{3}$=40$^{\circ}$
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