# Level 5

Geometry Level 2

Let $$ABC$$ be a triangle in which $$AB=AC$$ and $$\angle{CAB}=90$$. Suppose M and N are points on the hypotenuse $$BC$$ such that $$BM^{2}+CN^{2}=MN^{2}$$, then $$\angle{MAN}=?$$

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