Question

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

Explanation:

Step1: Recall inscribed angle theorem

An inscribed angle is half its intercepted arc.

Step2: Identify intercepted arc of ∠BDC

∠BDC = 51°, intercepts arc BC.

Step3: Calculate arc BC

Arc BC = 2 × ∠BDC = 2×51° = 102°.

Answer:

102°