Question

line segment bd is a diameter of circle e. what is the measure of arc bc? 39° 78° 102° 129°

Explanation:

Step1: Recall the central - angle theorem

The measure of an arc is equal to the measure of its central angle.

Step2: Find the central angle of arc BC

The central angle of arc BC is \(\angle BEC\). Given \(\angle BEC = 78^{\circ}\) (since the angle is given in the figure as \(78^{\circ}\)). The measure of arc BC is equal to the measure of \(\angle BEC\).

Answer:

\(78^{\circ}\)