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: 13

Answer

a = 85 degrees b = 47.5 degrees c = 90 degrees

Work Step by Step

1. solve for b half of 95 will be b 95 / 2 = 47.5 b = 47.5 degrees 2. solve for c half of 180 (semi-circle because line passes through the center) = c 180 / 2 = 90 c = 90 degrees 3. solve for a circle = 360 degrees a = 360 - 95 - 180 a = 85 degrees
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