Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 2 - Review Exercises - Page 131: 18

Answer

m$\angle$B=110$^{\circ}$

Work Step by Step

m$\angle$D+m$\angle$C=180 5x+10+5y+20=180 5y=150-5x y=30-x m$\angle$A=m$\angle$C 3x+y=5y+20 3x+(30-x)=5(30-x)+20 2x+30=150-5x+20 7x=140 x=20 y=30-x y=30-20 y=10 m$\angle$B=m$\angle$D m$\angle$B=5x+10 m$\angle$B=5(20)+10 m$\angle$B=110$^{\circ}$
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