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# Hard Geometry Problem

Let $$ABCD$$ be a trapezoid, such that the sides $$AB$$ and $$CD$$ are parallel and the length of the diagonal $$BD$$ is equal to the sum of the lengths of the sides $$AB$$ and $$CD$$. Let $$M$$ be the midpoint of the side $$BC$$ and let $$E$$ be the symmetric of $$C$$ in respect to $$DM$$.
Show that angle $$AEB$$ is equal to angle $$ACD$$.

Note by Tomás Carvalho
1 year, 7 months ago

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