Question

angle bac measures $56^{\circ}$. what is the measure of angle bdc?
$28^{\circ}$
$34^{\circ}$
$56^{\circ}$
$112^{\circ}$

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:

C. 56°