# Which quadrant does the given angle 1079 degrees lie?

Dec 8, 2016

See explanation.

#### Explanation:

This angle lies in the 4th quadrant.

To find the quadrant in which the angle lies you have to follow these steps:

1. Subtract ${360}^{o}$ until you get an angle smaller than ${360}^{o}$. This rule comes from the fact that ${360}^{o}$ is a full angle.

2. The remaining angle $x$ lies in:

3. 1st quadrant if $x \le 90$

4. 2nd quadrant if $90 < x \le 180$
5. 3rd quadrant if $180 < x \le 270$
6. 4th quadrant if $270 < x < 360$