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Easy problem about triangles!

Source: Brazil Math Olympiad 1998

March 6, 2006
geometry proposedgeometryMass Pointscenter of masssimilar triangles

Problem Statement

Let ABCABC be a triangle. DD is the midpoint of ABAB, EE is a point on the side BCBC such that BE=2ECBE = 2 EC and ∠ADC=∠BAE\angle ADC = \angle BAE. Find ∠BAC\angle BAC.
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