Question 3
In a trapezoid $$ABCD$$, the internal bisector of angle $$A$$ intersects the base $$BC$$ (or its extension) at the point $$E$$. Inscribed in the triangle $$ABE$$ is a circle touching the side $$AB$$ at $$M$$ and side $$BE$$ at the point $$P$$. Find the angle $$DAE$$ in degrees, if $$AB:MP=2$$.
Correct Answer: 60
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