Question

An angle whose measure is –102° is in standard position. In which quadrant does the terminal side of the angle fall?

Answer 1

3rd quadrant.

Explanation:

An angle with a measure of -102° in standard position falls in the third quadrant. In the standard position, the initial side of the angle is on the positive x-axis, and the terminal side rotates counterclockwise from the initial side. Since the angle measure is negative, it means the terminal side will rotate in the clockwise direction. Thus, the terminal side will fall in the third quadrant, which is below the x-axis and to the right of the y-axis.