Need help finding the coterminals of negative angles greater than 360 degrees?

Question

I can't seem to figure out the coterminals of -390, -445 and -740 degrees. If some can tell me how to solve. I would appreciate it.

Answer 1

When the original angle is negative, to figure out how many times you'll need to add 360°, divide the angle by 360° and round up.

390°/360° = 2 when rounded up, so -390° + 2(360°) = 330°.
445°/360° = 2 when rounded up, so -445° + 2(360°) = 275°.
740°/360° = 3 when rounded up, so -740° + 3(360°) = 340°.