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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