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 285: 4

Answer

$28.2^\circ$

Work Step by Step

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc, therefore $\angle B=\frac{1}{2}\overset{\frown}{AC}=\frac{1}{2}\cdot 56.4^\circ=28.2^\circ$.
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