Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 1 - Section 1.4 - Angles and Their Relationships - Exercises - Page 39: 43

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
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.