Question

an angle whose measure is -102° is in standard position. in which quadrant does the terminal side of the angle fall? quadrant i quadrant ii quadrant iii quadrant iv

Explanation:

Step1: Analyze negative - angle rotation

Negative angles rotate clockwise. A full - circle rotation is \(360^{\circ}\).

Step2: Determine quadrant range

Angles between \(-90^{\circ}\) and \(-180^{\circ}\) rotate clockwise from the positive \(x\) - axis.
Since \(- 180^{\circ}<-102^{\circ}<-90^{\circ}\), when we rotate \(102^{\circ}\) clockwise from the positive \(x\) - axis.

Answer:

Quadrant III