Multiple choice

Point O is the center of a circle. The measure of arc AB on this circle is 120°. What is the measure, in degrees, of the angle subtended by arc AB at the center?

  1. 60°

  2. 90°

  3. 120°

  4. 150°
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C Correct answer
Explanation

The measure of an arc in degrees is defined as the measure of the central angle that subtends it. Therefore, if the arc measure is 120 degrees, the central angle is 120 degrees.

AI explanation

The measure of an arc directly corresponds to the measure of the central angle that intercepts it. Since the measure of arc AB is given as 120 degrees, the angle subtended by arc AB at the center of the circle is also 120 degrees.

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