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: 42

Answer

$17^{\circ}$

Work Step by Step

m$\angle$TSW = m$\angle$TSU + m$\angle$USV + m$\angle$VSW m$\angle$TSW = (m$\angle$TSW - m$\angle$USW) + m$\angle$USV + (m$\angle$TSW - m$\angle$TSV) 61 = (61 - 40) + m$\angle$USV + (61 - 38) 61 = 122 - 78 + m$\angle$USV 61 = 44 + m$\angle$USV m$\angle$USV = $17^{\circ}$
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