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?

Question

Lorenzo Kent

Mathematics

23 October, 18:40

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?

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Answers (1)

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Noe Mccullough · 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°