Question

angle bac measures 56°. what is the measure of angle bdc? 28° 34° 56° 112°

Explanation:

Step1: Recall circle angle theorem

Angles subtended by the same arc on the circumference of a circle are equal. Arc BC subtends both $\angle BAC$ and $\angle BDC$.

Step2: Match the angle measures

Since $\angle BAC = 56^\circ$, $\angle BDC$ must equal this value.

Answer:

56° (Option C: 56°)