Hello Kron,
to find coterminal angles, you can add OR subtract 360 as many times as needed to get answers that fit in the given interval:
adding: 650 is already above the interval given, so adding 360 will only get your answers that are even further outside that interval.
subtracting: 650 - 360 = 290. Is -360 ≤ 290 < 360? Yes. So that’s one answer.
moving on: 290 - 360 = -70. Is -360 ≤ -70 < 360? Yes, so -70 is another answer.
next: -70 -360 = -430. Is -360 ≤-430 < 360? No, and if you keep subtracting 360, the subsequent answer will fall further below that interval too.
Therefore, the angles coterminal with 650 degrees that satisfy -360° ≤ θ < 360° are: 290 degrees and -70 degrees
