The figure below shows lines that intersect at point O. Which pair of angles 1
are vertical angles?
APD
O O
O
O

Given:

Given that the figure shows that the lines intersect at the point O.

We need to determine the pair of vertical angles.

Vertical angles:

When two lines are crossed the angles that lie opposite to each other are called as vertical angles.

Option A: ∠COE and ∠BOD

These angles are formed by the intersection of the lines CD, EP and AB and the angles does not lie opposite to each other.

Hence, the angles COE and BOD are not vertical angles.

Thus, Option A is not the correct answer.

Option B: ∠COE and ∠EOD

From the figure, it is obvious that the angles does not lie opposite to each other.

Thus, the angles COE and EOD are not vertical angles.

Hence, Option B is not the correct answer.

Option C: ∠EOB and ∠AOP

The angles EOB and AOP are formed by the intersection of the lines AB and EP and the angles lie opposite to each other.

Thus, the angles EOB and AOP are vertical angles.

Hence, Option C is the correct answer.

Option D: ∠AOC and ∠COE

The angles AOC and COE lie on the same side and share the common vertex.

Thus, the angles AOC and COE are not vertical angles.

Hence, Option D is not the correct answer.

question is incomplete.