#### 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 $\angle B=\frac{1}{2}\overset{\frown}{AC}=\frac{1}{2}\cdot 56.4^\circ=28.2^\circ$.

Published by
Brooks Cole

ISBN 10:
1439047901

ISBN 13:
978-1-43904-790-3

$28.2^\circ$

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