解:(1)∠B=∠C, (2)AO=DO, (3)BO=CO, (4)∠AOB=∠DOC, (5)ΔAOB≌ΔDOC,证明(1):∵对顶角相等, ∴∠AOB=∠DOC, 又 ∵∠A=∠D, ∠B=180°-∠A-∠AOB, ∠C=180°-∠D-∠DOC, ∴∠B=∠C