Question 179983
You can find coterminal angles as follows:

0 + 360n


where 0 is the angle and n is an integer

-200 + 360(2)=-200 + 720 = 520

another way to look at it is by drawing a picture (usually helps more)and then eliminating impossible answers:

Coterminal angles must share their terminal sides...

angle -200 moves clockwise and its terminal side ends in quadrant II....

a.  -160 moves clockwise and ends in quadrant III, therefore it is wrong
b.  20 ends in quadrant I, therefore it is wrong
c.  560 moves counterclockwise, completes a turn (360) and then moves 200 degrees more, and ends in quadrant III therefore it is wrong also
d.  520 moves counterclockwise completes a turn (360) and then moves 160 degrees more ending in quadrant II