# How do you determine the quadrant in which the angle -336^circ lies?

Jan 18, 2017

Add the value to 360 to find the corresponding “positive” angle.

#### Explanation:

The “quadrants” start in the positive-positive x-y quarter of the Cartesian plane and progress clockwise around it. The respective degree boundaries are I: 0-90, II: 90-180, III: 180-270, IV: 270-360.

A ‘negative’ angle just means that it is taken in the counter-clockwise direction from ${0}^{o}$.

Add the value to 360 to find the corresponding “positive” angle.
360 + (-336) = 24

${24}^{o}$ is in the first quadrant.