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Azerbaijan Team Selection Test 2016 First Round

Source: Azerbaijan Team Selection Test 2016 First Round

October 20, 2015
geometry

Problem Statement

ABCABC be atriangle with sides AB=20AB=20 , AC=21AC=21 and BC=29BC=29. Let DD and EE be points on the side BCBC such that BD=8BD=8 and EC=9EC=9. Find the angle ∠DAE\angle DAE.
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