(1)∵OD平分∠AOC,∴∠AOD=∠COD= 1 2 ∠AOC,同理,∠COE=∠BOE= 1 2 ∠COB,∵∠AOC+∠COB=180°,∴∠COD+∠BOE= 1 2 ∠AOC+ 1 2 ∠COB= 1 2 (∠AOC+∠COB)= 1 2 ×180°=90°.即∠DOE=90°;故答案是:90.