Which angles share a vertex but not a side?

Adjacent angles are two angles that have a similar vertex and a similar side, but they do not overlap.

Answer: Angles that share a vertex but not a side are called Non-Adjacent angles.

Let's take an example to understand this

Explanation:

Consider the diagram as shown below

∠1 and ∠3 are non-adjacent angles as they don't share a common arm.

But, we see that both ∠1 and ∠3 lie on the same vertex.

Thus, they share a common vertex but not a common arm.

Thus, Non-adjacent angles share a vertex but not a side.