Question

Name a supplement of ∠AOE.

Short answer

The supplement of$\angle AOE$ is $\angle \mathbf{DOE}$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Definition of supplementary angles.

The supplementary angles are the angles whose sum is180°and the angles are said to be supplements of each other.

Step 3. Find the supplement of∠AOE.

From the given diagram it can be noticed that the angles ∠AOE and ∠DOElies on the straight-lineAD.

Therefore, the sum of the angles ∠AOE and ∠DOE is 180°.

Therefore, the angles ∠AOE and ∠DOEare supplementary angles.

Therefore, the supplement of ∠AOE is ∠DOE.