Let ABCD be a cyclic quadrilateral. The point P is chosen on the line AB such that the circle passing through C,D and P touches the line AB. Similarly, the point Q is chosen on the line CD such that the circle passing through A,B and Q touches the line CD.Prove that the distance between P and the line CD equals the distance between Q and AB. geometrygeometry proposedcyclic quadrilateralCyclic Quadrilateralstangent circlesGermany