Answer:
∠AOB = 60°
∠COD = 60°
∠BOC = 120°
∠AOD = 120°
Explanation:
First,
180 = 2x + x
then, combine like terms,
180 = 3x
next, to get "x" alone, divide both sides by 3
180 = 3x
3 3
60 = x
so, x = 60.
Finally, just plug in the x values
2x = 2(60) = 120
x = 60
Then to find ∠COD and ∠AOD, they are vertical angles with ∠AOB and ∠BOC so they are equal.