Question

in circle e with ( mangle def = 66^{circ} ), find the measure of minor arc ( overparen{df} ).

Explanation:

Step1: Recall the central - angle and arc - measure relationship

The measure of a minor arc in a circle is equal to the measure of its central angle.

Step2: Identify the central angle

Here, the central angle for arc \( \overset{\frown}{DF}\) is \( \angle DEF\), and \(m\angle DEF = 66^{\circ}\).
So, \(m\overset{\frown}{DF}=m\angle DEF = 66^{\circ}\).

Answer:

66