2020 OIM Problems/Problem 1
Problem
Let ABC be an acute triangle such that AB < AC. The midpoints of the Sides AB and AC are M and N, respectively. Let P and Q be points on the line MN such that \CBP = \ACB and \QCB = \CBA. The circumcircle of triangle ABP intersects to the line AC in D (D 6= A) and the circumcircle of the triangle AQC intersects the line AB in E (E 6= A). Show that the lines BC, DP and EQ are concurrent.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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