points e, f, and d are located on circle c. the measure of arc ed is 108°. what is the measure of angle ecd…

points e, f, and d are located on circle c. the measure of arc ed is 108°. what is the measure of angle ecd? 54° 72° 108° 126°

points e, f, and d are located on circle c. the measure of arc ed is 108°. what is the measure of angle ecd? 54° 72° 108° 126°

Answer

Explanation:

Step1: Recall central - angle theorem

The measure of a central angle is equal to the measure of the arc it intercepts.

Step2: Identify the central angle

Angle $ECD$ is a central angle that intercepts arc $ED$.

Step3: Determine the measure of angle $ECD$

Since the measure of arc $ED$ is $108^{\circ}$, the measure of angle $ECD$ is also $108^{\circ}$.

Answer:

$108^{\circ}$