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
Consider the diagram as hown 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.