Question

Which quadrant does the given angle $-127$ degrees lie?

Answer 1

Determine the quadrant of angle $\mathbf{-}\mathbf{127}$ degrees:

When something moves in a clockwise direction, it is moving in the same direction as the hands on the clock.

When something moves in an anti-clockwise direction, it is moving in the opposite direction.

Negative rotations are in a clockwise direction, so the angles are through the IV, III, II, and I quadrants before returning to the $0°$ position.

$-127°+360=233°$

The angle $233°$ lies in the III quadrant.

Hence, the quadrant of angle $\mathbf{-}\mathbf{127}$ degrees is $\mathbf{III}$.