Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 75: 16

Answer

x=20$^{\circ}$ y=10$^{\circ}$ m$\angle$8=110$^{\circ}$

Work Step by Step

m$\angle$1+m$\angle$2=180 5x+y+3x+y=180 2y=180-8x y=90-4x m$\angle$1=m$\angle$8 5x+y=3x+5y Substitute for Y. 5x+(90-4x)=3x+5(90-4x) x+90=3x+450-20x 18x=360 x=20$^{\circ}$ Substitute for X. y=90-4x y=90-4(20) y=10$^{\circ}$ m$\angle$8=3x+5y m$\angle$8=3(20)+5(10) m$\angle$8=110$^{\circ}$
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