If an angle in standard position has its terminal side passing through the point on the unit circle corresponding to a rotation of $200°$, what is the measure of the angle in degrees?

• A. $92°$
• B. $148°$
• C. $72°$
• D. $200°$

Answer: (D)

Verified step by step guidance

1. Understand that an angle in standard position is measured from the positive x-axis, rotating counterclockwise for positive angles.
2. Recognize that the problem states the terminal side of the angle passes through the point on the unit circle corresponding to a rotation of 200 degrees.
3. Recall that the measure of an angle in degrees that corresponds to a point on the unit circle is the angle of rotation from the positive x-axis to that point.
4. Since the terminal side passes through the point at 200 degrees, the angle measure in standard position is exactly 200 degrees.
5. Therefore, the measure of the angle in degrees is the same as the given rotation, which is 200 degrees.