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 785: 20

Answer

m BC = 96 angle B = 55 angle C = 77 m AB = 154

Work Step by Step

To solve for angle B: We know that B will be half of 110, so angle B is 55. angle B = 55 To solve for angle C: The sum of a triangle's three angles is 180. A + B + C = 180 A = 48; B = 55; C = ? 48 + 44 + C = 180 angle C = 77 To solve for BC: We know that mBC will be 48 * 2. mBC = 96 To solve for AB: We know that mAB will be 77 * 2 (2 times angle C) mAB = 154 Answers: angle B = 55 ; angle C = 77 ; mBC = 96 ; mAB = 154 ;
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