In triangle ABC with ∣BC∣>∣BA∣, D is a point inside the triangle such that \angle ABD\equal{}\angle DBC, \angle BDC\equal{}150{}^\circ and \angle DAC\equal{}60{}^\circ. What is the measure of ∠BAD?<spanclass=′latex−bold′>(A)</span>45<spanclass=′latex−bold′>(B)</span>50<spanclass=′latex−bold′>(C)</span>60<spanclass=′latex−bold′>(D)</span>75<spanclass=′latex−bold′>(E)</span>80