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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