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 1 - Section 1.2 - Angles and Their Relationships - Exercises - Page 49: 45

Answer

x=15$^{\circ}$ z=3$^{\circ}$

Work Step by Step

$\angle$TSU+$\angle$USV+$\angle$VSW=$\angle$TSW (x+2z)+(x-z)+(2x-z)=60 4x=60 x=15 $\angle$USV+$\angle$VSW=$\angle$USW (x-z)+(2x-z)=(3x-6) 3x-2z=3x-6 -2z=-6 z=3
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