Question

what is the measure of angle cab in circle o? 24° 48° 72° 96°

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of the intercepted arc.

Step2: Identify the intercepted arc

The intercepted arc of angle $\angle CAB$ is arc $CB$, and the measure of arc $CB$ is $48^{\circ}$.

Step3: Calculate the measure of $\angle CAB$

Let $m\angle CAB$ be the measure of angle $\angle CAB$. According to the inscribed - angle theorem, $m\angle CAB=\frac{1}{2}\times$ measure of arc $CB$. So $m\angle CAB = \frac{1}{2}\times48^{\circ}=24^{\circ}$.

Answer:

A. $24^{\circ}$