In circle O, if arc AB measures $48°$, what is the measure of angle CAB, where C is a point on the circle such that angle CAB is an inscribed angle that intercepts arc AB?

• A. $48°$
• B. $24°$
• C. $72°$
• D. $96°$

Answer: (B)

Verified step by step guidance

1. Recall the Inscribed Angle Theorem, which states that an inscribed angle in a circle is half the measure of the arc it intercepts.
2. Identify the given arc measure: arc AB measures \$48^\circ$.
3. Since angle CAB is an inscribed angle intercepting arc AB, use the formula: \(\text{angle CAB} = \frac{1}{2} \times \text{measure of arc AB}\).
4. Substitute the given arc measure into the formula: \(\text{angle CAB} = \frac{1}{2} \times 48^\circ\).
5. Simplify the expression to find the measure of angle CAB.