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Which quadrant does the given angle 1079 degrees lie?

1 Answer

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:

Subtract $360^{o}$ $360^o$ until you get an angle smaller than $360^{o}$ $360^o$ . This rule comes from the fact that $360^{o}$ $360^o$ is a full angle.
The remaining angle $x$ $x$ lies in:
1st quadrant if $x \leq 90$ $x <=90$
2nd quadrant if $90 < x \leq 180$ $90 < x <=180$
3rd quadrant if $180 < x \leq 270$ $180 < x <= 270$
4th quadrant if $270 < x < 360$ $270 < x < 360$

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