Points on a square

Geometry Level 5

ABCDABCD is a square. Point EE, located on the opposite side of line CDCD as compared to points AA and BB, satisfies DEA=AEC=12EAD \angle DEA = \angle AEC = \frac{1}{2} \angle EAD . What is the measure of ECD \angle ECD?

Details and assumptions

Points XX and YY are on opposite sides of line MNMN if the line segment XYXY intersects the line MNMN.

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