Question

In circle F, what is m EA if m ZDFE - 36°?АBFEDCa54°b104°C144°d324°

Answer 1

Note that the measurement of arc is equal to the central angle.

A central angle is an angle whose vertex is at the center of the circle.

Since DFA is a straight line, angle DFE and angle AFE will have a sum of 180 degrees

`\angle\text{DFE}+\angle\text{AFE}=180`

From the given, angle DFE = 36 degrees

`\begin{gathered} 36+\angle\text{AFE}=180 \\ \angle\text{AFE}=180-36 \\ \angle\text{AFE}=144 \end{gathered}`

From the notes above, arc EA = angle AFE

Therefore, arc EA = 144 degrees

The answer is Choice C. 144 degrees