Question

In the above figure, m∠AOC = 26° and m∠BOD = 2x + 32. If ∠AOC and ∠BOD are vertical angles, what is the value of x?

Answer 1

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°

Answer 2

Answer:

d

Step-by-step explanation: