REF. Image.consider \\\\(\\Delta \\\\) ABC and \\\\(\\Delta \\\\) ACDSince the line segments AB+CD are parallelto each other and AC is a transversal\\\\(\\angle \\\\) ACB = \\\\(\\angle \\\\) CAD.AC = AC (common side)\\\\(\\angle \\\\)CAB = \\\\(\\angle \\\\) ACD.Thus, by ASA criteria\\\\( \\Delta \\\\)ABC \\\\(\\cong \\\\) \\\\( \\Delta \\\\)ACDThe corresponding part of the congruenttriangle are congruentAB = CD + AD = BC