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What is M angle FAD?

What is M angle FAD?-example-1
User PeterT
by
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1 Answer

1 vote

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°

User Ginny
by
5.8k points