Please see the circumstances properly:

• ​​Don't assume GOE as a straight line till it is not given so.
• As GOE is not given as a staright line,we have to say that:

 

1. OF
2. OE
3. OD
4. OC
5. OB
6. OA
7. OG

are just rays.

• If there 2 rays from 1 common vertex we can't tell that it forms a straight line.
• Thus, OG and OE may  not form a straight line. 
• ∠COE and ∠BOG are consecutive integral multiple of 10.

​​Like: (20,30) ; (70,80) The pair should be of integers
Not like: (12,13) which can be divisible by 10 as (1.2, 1.3)

• OA bisects​ angle BOG
• OD bisects angle COE

Please be very specific about the conditions.
As I have got answer to this same query twicw by 2 different experts I have seen that they don't go through or match with the circumstances.
I have checked the diagram 5 times from the place from where I copied.