Question

Which of the following is a pair of vertical angles ?

Answer 1

Answer

∠AOB and ∠DOC are a pair of vertical angle

Step-by-step explanation

Given in the figure we have to choose the angle which are vertically opposite to each other.

The vertically opposite angles are the angles vertically opposite when two line cross each other.

Option A

∠AOB and∠DOC are vertically opposites to each other so they are a pair of vertical angle

Option B

∠AOB and∠EOA  are not vertically opposite to each other so they are not a  pair of vertical angle.

Option C

∠DOC and ∠EOB are not vertically opposite to each other so they are also not a pair of vertical angles .

Option D

∠EOB and∠EOA are also not vertically opposite to each other so they are also not  a pair of vertical angle

Therefore, ∠AOB and ∠DOC are a pair of vertical angles

Answer 2

Vertical angles are the angles opposite each other when two lines cross, so 
∠AOB and ∠DOC are vertical.