Based on the inscribed angle theorem, the measure of the inscribed angle, ∠CAB = 24°.
What is the Inscribed Angle Theorem?
According to the inscribed angle theorem, the measure of an inscribed angle is always half of the measure of the measure of the intercepted arc.
Given:
- Measure of intercepted arc = 48°
- Inscribed angle = m∠CAB
Therefore:
Measure of m∠CAB = 1/2(48)
Measure of m∠CAB = 24°
Therefore, based on the inscribed angle theorem, the measure of the inscribed angle, ∠CAB = 24°.
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