Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 12 - Circles - 12-3 Inscribed Angles - Practice and Problem-Solving Exercises - Page 784: 15

Answer

p = 90 degrees q = 122 degrees

Work Step by Step

1. solve for q: 58 * 2 = 116 circle --> 360 degrees 360 - 116 = 244 Half of 244 = q 244 / 2 = 122 q = 122 degrees 2. solve for p: the sum of the angles of a quadrilateral = 360 degrees p = 360 - 58 - 90 - q p = 360 - 58 - 90 - 122 p = 90 degrees
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