MathDB
ASU 298 All Soviet Union MO 1980 angle wanted, equilateral starting

Source:

July 19, 2019
geometryEquilateralangles

Problem Statement

Given equilateral triangle ABCABC. Some line, parallel to [AC][AC] crosses [AB][AB] and [BC][BC] in MM and PP points respectively. Let DD be the centre of PMBPMB triangle, EE be the midpoint of the [AP][AP] segment. Find the angles of triangle DECDEC .