tangent circles
Source: I Soros Olympiad 1994-95 Round 2 9.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 25, 2024
geometrytangent circles
Problem Statement
A circle can be drawn around the quadrilateral . is a point on the diagonal . The straight line intersects the side at the point . Prove that the circles circumscribed around the triangles and are tangent.