Data Sufficiency

BO = CO = radius = AB
Triangles BOC and ABO are Isosceles (i.e 2 sides have equal length)
Therefore,
<BAO = <BOA and <BCO = < CBO
<CBO = 2*<BOA and <BAO = CBO/2

Statement 1
The degree measure of <COD = 60 degree
<BAO + ACO = <COD where COD = 60 deg
Using exterior angle theorem
<ACO = <CBO = 2*<BAO
So, <BAO + ACO = 2*BAO + BAO = 3<BAO = 60 deg
BAO = 60/3 = 20 degree
Hence, statement 1 is INSUFFICIENT.

Statement 2
The degree measure of angle BCO is 40 deg
<BCO = 40
<BCO = CBO = 40deg
2<BAO = 40deg
2BAO = 40/2 =20deg
Statement 2 is INSUFFICIENT.

$$answer\ is\ Option\ D$$