Respuesta :
Based on the inscribed angle theorem, the measure of angle CAB in circle (O) is: A. 24 degrees.
The inscribed angle theorem.
According to the inscribed angle theorem, the measure of an inscribed angle whose vertex lies on a circle is always half the measure of the intercepted arc that is subtended at a point on the circle.
Given the following data:
- Inscribed angle = ∠CAB
- Intercepted arc = 48°
Based on the inscribed angle theorem, we have:
∠CAB = ∡CB/2
∠CAB = 48/2
∠CAB = 24 degrees.
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