Question

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

Explanation:

Step1: Recall inscribed - angle theorem

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

Step2: Identify the intercepted arc

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

Step3: Calculate the measure of $\angle CAB$

By the inscribed - angle theorem, $m\angle CAB=\frac{1}{2}m\overset{\frown}{CB}$. So $m\angle CAB = 24^{\circ}$.

Answer:

$24^{\circ}$