say θ° is 30.
then from O to A is 180 + 30 = 210
for any θ° between 0 and 180, add 180
once θ° is greater than 180, then when we add 180 it is bigger than 360
so to get it right you have to back up 180 and use θ° - 180
(or in fact you could still do it the same way and subtract 360 once you got 390 for example but that would be 180-360 = -180 anyway :)
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