Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 1 - Section 1.4 - Angles and Their Relationships - Exercises - Page 35: 17

Answer

m$\angle$ RST = 42$^{\circ}$

Work Step by Step

Using the Segment Addition Postulate: m$\angle$RST + m$\angle$TSV = m$\angle$RSV Substitute in the values from the problem. m$\angle$RST + 17 = 59 Subtract 17 from both sides of the equation m$\angle$RST + 17 - 17= 59 - 17 m$\angle$RST = 42
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