# RMO 2003 ; Part - 1

Geometry Level 2

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

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