In the above figure, m∠AOC = 28° and m∠BOD = (2x + 33)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x?
Vertical angles are always congruent, meaning they have the same measure. Therefore,
m∠AOC = m∠BOD
28 = 2x + 33
-5 = 2x
x = -2.5
Therefore, the value of x is -2.5.