Question

what is ( mangle edf )?
write your answer as an integer or decimal.
( mangle edf=) 。

Explanation:

Step1: Recall the inscribed - angle theorem

The measure of an inscribed angle is half the measure of the central angle that subtends the same arc.

Step2: Identify the central and inscribed angles

The central angle \(\angle EGF = 94^{\circ}\), and the inscribed angle \(\angle EDF\) subtends the same arc \(EF\).
Using the formula \(m\angle EDF=\frac{1}{2}m\angle EGF\)
Substitute \(m\angle EGF = 94^{\circ}\) into the formula: \(m\angle EDF=\frac{94^{\circ}}{2}\)

Answer:

\(47\)