Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 275: 5

Answer

$56.6^\circ$

Work Step by Step

The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc, therefore $\overset{\frown}{AC}=2\angle B=2\cdot 28.3^\circ=56.6^\circ$
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