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angle bisector wanted, 2 right angles (Kyiv City Olympiad 2003 10.4)

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June 27, 2021
geometryangle bisector

Problem Statement

Let ABCDABCD be a convex quadrilateral. The bisector of the angle ACDACD intersects BDBD at point EE. It is known that ∠CAD=∠BCE=90o\angle CAD = \angle BCE= 90^o. Prove that the ACAC is the bisector of the angle BAEBAE .
(Nikolay Nikolay)
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