Geometry with parallel lines.
Source: RMM 2018,D1 P1
February 24, 2018
geometryRMMRMM 2018auyesl
Problem Statement
Let be a cyclic quadrilateral an let be a point on the side The diagonals meets the segments at The line through parallel to mmets the extension of the side beyond at The line through parallel to meets the extension of the side beyond at Prove that the circumcircles of the triangles and are tangent .