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angles wanted, right isosceles related 2017-18 Dürer Round1 C+2

Source:

December 9, 2022
geometryisoscelesright triangleangles

Problem Statement

In an isosceles right-angled triangle ABCABC, the right angle is at AA. DD lies so on the side BCBC that 2CD=DB2CD = DB. Let EE be the projection of BB onto ADAD. What is the measure fof angle ∠CED\angle CED ?
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