ABCD is a trapezium in which AB∥CD. The diagonals AC and BD intersect at O. It is given that ∠BAD=∠BCD.
(i) Name a pair of equal angles, one from △ABO and the other from △CDO, which are equal because AB∥CD. State the reason for their equality.
(ii) Using the information that ∠BAD=∠BCD, prove that △ABO≅△CDO.
(iii) Hence, show that AB=CD.