解:
∵∠COD+∠BOC=∠BOD=96°48',
∠COD:∠BOC=2:3,
∴∠COD=2/5∠BOD=96°48’×2/5=19°21'36''×2=38°43'12'',
∠AOD=∠AOC+∠COD=96°48'+38°43'12''=135°31'12''.