MathDB
IOQM 2022-23 P-3

Source:

October 30, 2022
geometryIOQMmid point theoremtrapezoid

Problem Statement

In a trapezoid ABCDABCD, the internal bisector of angle AA intersects the base BCBC(or its extension) at the point EE. Inscribed in the triangle ABEABE is a circle touching the side ABAB at MM and side BEBE at the point PP. Find the angle DAEDAE in degrees, if AB:MP=2AB:MP=2.