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equal angels wanted, parallelogram and two perpendicularities given

Source: North Macedonian Mathematical Olympiad 1996 p1

February 12, 2020
geometryparallelogramequal anglesperpendicular

Problem Statement

Let ABCDABCD be a parallelogram which is not a rectangle and EE be the point in its plane such that AE⊥ABAE \perp AB and CE⊥CBCE \perp CB. Prove that ∠DEA=∠CEB\angle DEA = \angle CEB.
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