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

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 $ED$ with a measure of $68^{\circ}$. Let the measure of $\angle EFD$ be $x$. According to the inscribed - angle theorem, $x=\frac{1}{2}\times$ measure of arc $ED$.

Step3: Calculate the measure of the angle

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

Answer:

$34^{\circ}$