# A lucky angle

Level pending

Let there be an angle $$\theta$$ such that $$\theta$$ ranges from 0 degree to 90 degrees and such that $$\sin \theta = \frac{\sqrt{xy-y}}{x}$$, $$\cos \theta = \frac{\sqrt{6xy + 9y}}{xy}$$ an $$\tan \theta = \frac{x\sqrt{21x + 17y}}{22y - 1}$$. Find the value of $$x +y$$.

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