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angle chasing, <AEC=45^o, altitude, angle bisector related

Source: 2017 (-18) Swedish Mathematical Competition p4

August 30, 2020
geometryangle bisectorAngle Chasingangles

Problem Statement

Let DD be the foot of the altitude towards BCBC in the triangle ABCABC. Let EE be the intersection of ABAB with the bisector of angle ∠C\angle C. Assume that the angle ∠AEC=45o\angle AEC = 45^o . Determine the angle ∠EDB\angle EDB.
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