Question

In the above figure, m AOC=26 and m BOD= (2x+39). If AOC and BOD are vertical angles whats the value if x?
A. x=-13
B. x=6.5
C. x=65
D. x=32.5

Answer 1

If AOC and BOD are vertical angles, the value of x is x = -6.5

How to determine the value of x?

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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