For the first part of the angle:
North translates to 90 degrees
West translates to 180 degrees.
South translates to 270 degrees.
East translates to 360 degrees.

Then add or subtract the rest of the angle.

 

http://stevesweeney.pbworks.com/f/MCR3U+-+Trigonometry+03+-+Cartesian+Plane+-+W2011.pdf