If an angle in standard position intercepts an arc of a circle such that the arc's measure is $104°$, what is the measure of the angle in degrees?

• A. $52°$
• B. $26°$
• C. $128°$
• D. $104°$

Answer: (D)

Verified step by step guidance

1. Recall that an angle in standard position is measured by the amount of rotation from the positive x-axis, and its measure in degrees is equal to the measure of the intercepted arc on the unit circle.
2. Understand that the intercepted arc's measure is given as 104°.
3. Since the angle intercepts an arc of 104°, the measure of the angle in degrees is equal to the measure of that arc.
4. Therefore, the angle's measure is 104°.
5. No further calculations are needed because the angle measure and the intercepted arc measure are the same in degrees.