MathDB

2

Part of 1997 Swedish Mathematical Competition

Problems(1)

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

Source: 1997 Swedish Mathematical Competition p2

4/2/2021
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.
geometryanglesequal anglesequal segments