A question from pre rmo 2015

Geometry Level 3

Suppose we have a right triangle \(ABC\) with right angle \(B\).

There are points \(D, E,\) and \(F\) on sides \(AB, AC,\) and \(BC,\) respectively, such that \(AD = AE\) and \(CE=CF.\)

What is the measure of angle \(DEF\)?

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