Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Review Exercises - Page 131: 17


m$\angle$3=69$^{\circ}$ m$\angle$4=67$^{\circ}$ m$\angle$5=44$^{\circ}$

Work Step by Step

m$\angle$3=180-m$\angle$ACE m$\angle$3=69$^{\circ}$ m$\angle$1+m$\angle$2+m$\angle$3=180 x$^{2}$-3x+4+17x-x$^{2}$-5+69=180 14x+68=180 14x=112 x=8 m$\angle$2=m$\angle$5 m$\angle$5=x$^{2}$-3x+4 m$\angle$5=(8)$^{2}$-3(8)+4 m$\angle$5=44$^{\circ}$ m$\angle$4=m$\angle$ACE-m$\angle$5 m$\angle$4=111-44 m$\angle$4=67$^{\circ}$
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