Let ABC be an acute angled triangle and Γ its circumcircle. Led D be a point on segment BC, different from B and C, and let M be the midpoint of AD. The line perpendicular to AB that passes through D intersects AB in E and Γ in F, with point D between E and F. Lines FC and EM intersect at point X. If ∠DAE=∠AFE, show that line AX is tangent to Γ. geometrycircumcircleinternational competitionsIberoamerican