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

Respuesta :

Answer: Quadrant iii.


Step-by-step explanation:  Given, the measurement of the angle in standard position is -102°. When we are considering negative angles, we will in the clockwise direction. Angles with measurement 0° to -90° will fall in the quadrant iv. Angles measuring -90° to -180° will fall in the quadrant iii. Since -102° lies between -90° and -180°, so, it will be lying in quadrant iii. Please see the attached figure.

Thus, the correct answer is quadrant iii.


Ver imagen ColinJacobus

The terminal side of the angle -102⁰ as described will fall in; quadrant iii.

Which quadrant does the terminal side of the angle fall?

According to the task content; the angle whose terminal end's location is to be determined is -102⁰.

On this note, since the angle rotation starts on the +ve x-axis and rotates clockwise. Thus, for negative angles, we go counterclockwise.

This follows that the angle would terminate in quadrant iii.

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