gmatprep2..geometry
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let angle BAO =x so angle BOA = x (ab =oc=ob)
so angle ABO =180 2x
so angle CBO = angle BCO = 2x
hence angle BOC = 1804x so angle COA = 1804x+x =1803x
and since COD =60degs hence COA =120 =1803x
x=20
so angle ABO =180 2x
so angle CBO = angle BCO = 2x
hence angle BOC = 1804x so angle COA = 1804x+x =1803x
and since COD =60degs hence COA =120 =1803x
x=20
Regards
Samir
Samir

 Master  Next Rank: 500 Posts
 Posts: 460
 Joined: 25 Mar 2007
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Hi Kansonne,
As per my knowledge of the directions for geomety questions, we can extract some data from the diagram like here we can say AC is a straight line, coz it clearly looks like that in the diagram, IMO if there was an angle then it would have been clearly shown (you see a lot of geometry questions rely on the fact that sum of two angles along a straight line is 180 degs) i.e AB and BC will appear to make an angle , coz then the ans would be E
As per my knowledge of the directions for geomety questions, we can extract some data from the diagram like here we can say AC is a straight line, coz it clearly looks like that in the diagram, IMO if there was an angle then it would have been clearly shown (you see a lot of geometry questions rely on the fact that sum of two angles along a straight line is 180 degs) i.e AB and BC will appear to make an angle , coz then the ans would be E
Regards
Samir
Samir