Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 287: 40

Answer

Recall that the measure of an inscribed angle is always equal to half of the angle of the arc that it intersects. Angle ABC and AOC are both inscribed angles, and they both correspond to the same arc, AC. Thus, they both have half of the value of the angle measure of arc AC. Thus, by substitution, these two angles are congruent.
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