Question

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

Explanation:

Step1: Identify inscribed angle property

An inscribed angle is half its intercepted arc. Here, $\angle BDC = 51^\circ$ intercepts arc $BC$.

Step2: Calculate arc $BC$ measure

Multiply the inscribed angle by 2.
$\text{Measure of arc } BC = 2 \times 51^\circ$

Answer:

78°