Question

points e, f, and d are located on circle c. the measure of arc ed is 68°. what is the measure of angle efd? 34° 68° 112° 132°

Explanation:

Step1: Recall the inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Apply the theorem

Given that the measure of arc \(ED\) is \(m\overset{\frown}{ED} = 68^{\circ}\), and angle \(\angle EFD\) is an inscribed angle that intercepts arc \(ED\). Let \(m\angle EFD=\theta\).
By the inscribed - angle theorem \(\theta=\frac{1}{2}m\overset{\frown}{ED}\).
Substitute \(m\overset{\frown}{ED} = 68^{\circ}\) into the formula: \(\theta=\frac{68^{\circ}}{2}\).

Answer:

\(34^{\circ}\)