# 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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