Question: Problem 4. Let ABCD be a convex quadrilateral with |AB||CD| = |BC||AD|. Prove that the angle bisectors of the angles at A and C

Problem 4. Let ABCD be a convex quadrilateral with |AB||CD| = |BC||AD|.

Problem 4. Let ABCD be a convex quadrilateral with |AB||CD| = |BC||AD|. Prove that the angle bisectors of the angles at A and C intersect at a point lying on BD

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