MathDB
FInd $\angle BEC$

Source: Moldova EGMO TST 2023

February 4, 2023
exterior anglegeometryangle bisector

Problem Statement

Cirlce Ω\Omega is inscribed in triangle ABCABC with BAC=40\angle BAC=40. Point DD is inside the angle BACBAC and is the intersection of exterior bisectors of angles BB and CC with the common side BCBC. Tangent form DD touches Ω\Omega in EE. FInd BEC\angle BEC.