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 38: 20

Answer

x=8$^{\circ}$ $\angle$RSV=69$^{\circ}$

Work Step by Step

$\angle$RST+$\angle$TSV=$\angle$RSV 5(x+1)-3+4(x-2)+3=4(2x+3)-7 5x+5-3+4x-8+3=8x+12-7 9x-3=8x+5 x=8 $\angle$RSV=4(2x+3)-7 $\angle$RSV=8x+5 $\angle$RSV=8(8)+5 $\angle$RSV=69°
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