# Octarelate

Geometry Level 4

The figure shows a right triangle $$ABC$$ with the right angle at $$B$$.

$$M$$ and $$N$$ are 2 points on $$AC$$ such that $$(AM)^2 + (CN)^2 = (MN)^2$$.

Find the measure of the angle $$\angle MBN$$ in degrees.

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