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: 9

Answer

a = 54 degrees b = 30 degrees c = 96 degrees

Work Step by Step

1. Solve for a: Half of 108 (given) will be angle a. 108 / 2 = 54 a = 54 2. Solve for b: Half of 60 (given) will be angle b. 60 / 2 = 30 b = 30 3. solve for angle c The sum of the angles of a triangle is 180; a + b + c = 180 54 + 30 + c = 180 c = 96
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