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angles wanted, 3<ACE = 2<BCE , ED = DC = CP

Source: 1997 Swedish Mathematical Competition p2

April 2, 2021
geometryanglesequal anglesequal segments

Problem Statement

Let DD be the point on side ACAC of a triangle ABCABC such that BDBD bisects ∠B\angle B, and EE be the point on side ABAB such that 3∠ACE=2∠BCE3\angle ACE = 2\angle BCE. Suppose that BDBD and CECE intersect at a point PP with ED=DC=CPED = DC = CP. Determine the angles of the triangle.
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