The value of x is -3.
Step-by-step explanation:
- It is given that the angles ∠AOC and ∠BOD are vertical angles.
- The vertical angles have same measure of angles.
- Therefore, ∠AOC is equal to ∠BOD.
⇒ 26° = 2x+32
⇒ 2x = 26-32
⇒ 2x = -6
⇒ x = -6/2
⇒ x = -3
Substitute x=-3 in ∠BOD = 2x+32
∠BOD = 2(-3)+32 = 26°