In the above figure m AOC=21 and m BOD=(2x+39) degree if AOC and BOD are vertical angles what is the value of x

Since AOC and BOD are vertical angles, they are congruent. Therefore, we have:

m AOC = m BOD
21 = 2x + 39

Subtracting 39 from both sides of the equation:

-18 = 2x

Dividing both sides by 2:

-9 = x

Therefore, the value of x is -9.