Elementary Geometry for College Students (5th Edition)

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

Chapter 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 299: 38

Answer

69 degrees

Work Step by Step

First of all, we find that angle V is equal to twice the measure of angle P. Thus, angle V equals 46 degrees. Since all angles in a triangle add to 180 degrees, it follows: $VRP = 180 - 46 - 23 = 111$ Now, since VRP is supplementary to VRS, we obtain: $ VRS = 180 - 111 = 69^{\circ}$.
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