(1) ∠AOD = 59°+ 31°+ 31°= 121°(2) ∠AOB = ∠DOC = 90°- 59°= 31°(3) ∠AOB = ∠DOC(4) 若不知道∠BOC的具体度数,其它条件不变,这种关系仍然成立! ∵∠AOB = ∠AOC - ∠BOC = 90°- ∠BOC ∠DOC = ∠BOD - ∠BOC = 90°- ∠BOC ∴∠AOB = ∠DOC