Because AB: BC: CD = 2: 6: 5, AB=4 BC= 12.
Then AD=26 MD= 13.
MC=MD-CD=3
∠AOC+24=∠BOC=∠BOD+∠DOC
∠DOC =∠AOC+24-∠BOD =∠AOD-∠DOC+24-∠BOD =-∠DOC = 24
2∠DOC=24
∠DOC= 12