∠∠AOC+∠COE =∠AOE = 180
OB is the bisector of ∠AOC and OD is the bisector of ∠COE.
∴∠BOC+∠COD=(∠AOC+∠COE)/2=90
∠∠COD:∠BOC = 2:3
∴∠BOC=90 ×3/(2+3)=54
∴∠COD=90 -54 =36