If an angle in standard position intercepts an arc on a circle, and the arc is labeled as AD, what is the measure of arc AD if the angle measures $96°$?

• A. $96°$
• B. $58°$
• C. $12°$
• D. $116°$

Answer: (A)

Verified step by step guidance

1. Recall that when an angle is in standard position and intercepts an arc on a circle, the measure of the intercepted arc is equal to the measure of the central angle in degrees.
2. Identify the given angle measure, which is 96 degrees in this problem.
3. Understand that the intercepted arc AD corresponds directly to this angle measure because the angle is a central angle.
4. Therefore, the measure of arc AD is the same as the measure of the angle, which is 96 degrees.
5. Conclude that the measure of arc AD is 96 degrees without needing further calculations.