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 its intercepted arc.

Step2: Identify the intercepted arc

The inscribed angle $\angle CAB$ intercepts arc $BC$. Given the measure of arc $BC$ is $48^{\circ}$.

Step3: Calculate the measure of $\angle CAB$

Using the inscribed - angle formula $\angle CAB=\frac{1}{2}\text{ measure of arc }BC$. So $\angle CAB = \frac{1}{2}\times48^{\circ}=24^{\circ}$.

Answer:

$24^{\circ}$