Answer:
m∠FAD=48°
Explanation:
we know that
The Perpendicular Bisector Theorem states that: A radius that bisect a chord is perpendicular to the chord
we have
FD=DE
The radius AC bisect the chord FE
so
AC is perpendicular to FE
The triangle FAD is a right triangle
m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle
we have
m∠AFD=42°
substitute
m∠FAD+42°=90°
m∠FAD=90°-42°
m∠FAD=48°