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

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