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 $\angle B=\frac{1}{2}\overset{\frown}{AC}=\frac{1}{2}\cdot 56.4^\circ=28.2^\circ$.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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
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