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: 21

Answer

x=60$^{\circ}$ $\angle$RST=30$^{\circ}$

Work Step by Step

$\angle$RST+$\angle$TSV=$\angle$RSV $\frac{x}{2}$+$\frac{x}{4}$=45$^{\circ}$ 3x=180$^{\circ}$ x=60$^{\circ}$ $\angle$RST=$\frac{60^{\circ}}{2}$=30$^{\circ}$
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