Find a Coterminal Angle

[lewch45]

Can someone please help with a question:

The question is to classify an angle by quadrant, and state the measure of the positive angle with measure less than 360 degrees that is coterminal with the given angle.

The one I'm having trouble with is: -872 degrees

Any help would be appreciated. Thanks.

 

[royhaas]

Add 3*360 degrees.

 

[lewch45]

Would this be correct:

-872 deg + 360 deg x 3 = -872 + 1080= 208 degrees

Which would be in Quadrant 3.

 

[mathfun]

Would this be correct:

-872 deg + 360 deg x 3 = -872 + 1080= 208 degrees

Which would be in Quadrant 3.

yup