What is the measure of angle CAB in circle O? 24 48 72 96

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Question:

What is the measure of angle CAB in circle O? 24 48 72 96

Answer:

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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