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