In which quadrant does the given angle of -514° lie?

May 25, 2018

Explanation:

Given: $- {514}^{\circ}$

Just add ${360}^{\circ} : \text{ } - 514 + 360 = - {154}^{\circ}$

Negative means the angle is clockwise (CW) from the $x$-axis.

The first ${90}^{\circ}$ in the negative direction is in the 4th quadrant.

This means $- {154}^{\circ}$ will be in the 3rd quadrant.