Let ω be the circumscribed circle of triangle ABC, and let ω′ 'be the circle tangent to the side BC and the extensions of the sides AB and AC. The common tangents to the circles ω and ω′ intersect the line BC at points D and E. Prove that ∠BAD=∠CAE. geometrymixtilinearmixtilinear excircleequal anglesUkraine Correspondence