# Points on a square

Geometry Level 5

$$ABCD$$ is a square. Point $$E$$, located on the opposite side of line $$CD$$ as compared to points $$A$$ and $$B$$, satisfies $$\angle DEA = \angle AEC = \frac{1}{2} \angle EAD$$. What is the measure of $$\angle ECD$$?

Details and assumptions

Points $$X$$ and $$Y$$ are on opposite sides of line $$MN$$ if the line segment $$XY$$ intersects the line $$MN$$.

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