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angle computation in triangle (Slovenia National MO 2001 4th Grade P3)

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April 7, 2021
geometry

Problem Statement

Let DD be the foot of the altitude from AA in a triangle ABCABC. The angle bisector at CC intersects ABAB at a point EE. Given that ∠CEA=π4\angle CEA=\frac\pi4, compute ∠EDB\angle EDB.
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