If AOC and BOD are vertical angles, the value of x is x = -6.5
The angles are given as:
m AOC = 26
m BOD = (2x+39).
From the question, we have
AOC and BOD are vertical angles
Vertical angles are equal.
So, we have:
AOC = BOD
Substitute the known values in the above equation
2x + 39 = 26
Subtract 39 from both sides
2x = -13
Divide bot sides by 2
x = -6.5
Hence, if AOC and BOD are vertical angles, the value of x is x = -6.5
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