Elementary Geometry for College Students (7th Edition)

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: 12c

Answer

$m\angle F=38^{\circ}$

Work Step by Step

The measure of an inscribed angle is half the measure of its intercepted arc. $\angle F$ has intercepted arc $DE$. Thus... $m\angle F=\frac {1}{2} (76)$ $m\angle F=38^{\circ}$
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