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 inscribed - angle theorem

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

Step2: Identify the intercepted arc and inscribed angle

The intercepted arc of angle $\angle EFD$ is arc $ED$, and the measure of arc $ED$ is $68^{\circ}$. Let the measure of angle $\angle EFD=\theta$. According to the inscribed - angle theorem, $\theta=\frac{1}{2}\times$ measure of arc $ED$.

Step3: Calculate the measure of angle $\angle EFD$

$\theta=\frac{1}{2}\times68^{\circ}=34^{\circ}$

Answer:

A. $34^{\circ}$