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: 37

Answer

When an angle is inscribed in a circle, its value is equal to half of the value of the arc that intersects it. The measure of the arc is constant regardless of where the angle intersects it. Therefore, since the measures of each angle are both half of the same number, it follows that they are congruent.
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