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bulgar [2K]
3 years ago
14

What is M angle FAD?

Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer:

m∠FAD=48°

Step-by-step explanation:

we know that

The<u><em> Perpendicular Bisector Theorem</em></u> 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°

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