Let the circle ω be circumscribed around the triangle △ABC with right angle ∠A. Tangent to the circle ω at point A intersects the line BC at point D. Point E is symmetric to A with respect to the line BC. Let K be the foot of the perpendicular drawn from point A on BE, L the midpoint of AK. The line BL intersects the circle ω for the second time at the point N. Prove that the line BD is tangent to the circle circumscribed around the triangle △ADM. geometrytangentcircumcircleUkraine Correspondence