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AM:MB = CM:MD
AM:CM=1:1
AM/CM=1/1
AM=CM
∴AM/MB=CM/MD
AM and CM is canceled out because (AM=CM)
MB=MD
In triangle BDM
MB=MD
Angle MDB = Angle MBD [ Angles opp. to equal sides are equal]
Angle CDB = Angle ABD .................(1)
Angle ABD = 2 Angle AOD .................(2)
Angle CDB = 2 Angle BOC .................(3)
From equation (1),(2) and (3)
2 Angle AOD = 2 Angle BOC
Angle AOD = Angle BOC
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