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If xxx and yyy are real values such that 0∘≤x−y≤180∘0^{\circ} \leq x-y \leq 180^{\circ}0∘≤x−y≤180∘ and
sinx+siny=1,cosx+cosy=2,\begin{aligned} \sin x + \sin y &= 1, \\ \cos x + \cos y & = \sqrt{2}, \end{aligned} sinx+sinycosx+cosy=1,=2,
what is the value (in degrees) of x−y x - y x−y?
This problem is posed by Josh P.
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