# Angle between cevians

Geometry Level 3

Let $$ABC$$ be a right-angled triangle at $$B$$ with $$AB > BC$$. Suppose there exist points $$D$$ and $$E$$ on segments $$AB$$ and $$BC$$ respectively satisfying $$AD = BC$$ and $$BD = CE$$. Find the acute angle between lines $$AE$$ and $$CD$$ in degrees.

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