Question

What is m∠DFE?

A. 78

B. 42

C. 19

D. 119

Answer 1

The answer is (D) 119

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Answer 2

Angle DFB = (1/2)*[(arc CE)+(arc BD)]
Angle DFB = (1/2)*(84+38)
Angle DFB = (1/2)*122
Angle DFB = 61

(Angle DFB) + (angle DFE) = 180
angle DFE = 180 - (Angle DFB)
angle DFE = 180 - 61
angle DFE = 119 degrees

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Final Answer is choice D) 119 degrees