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DE bisects <ADC, AD and BE angle bisectors

Source: TOT 541 1997 Spring S A2 Tournament Of Towns

September 11, 2024
geometryangle bisectorangles

Problem Statement

DD and EE are points on the sides BCBC and ACAC of a triangle ABCABC such that ADAD and BEBE are angle bisectors of the triangle ABCABC. If DEDE bisects ∠ADC\angle ADC, find ∠A\angle A.
(SI Tokarev)
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