Hi!
Your answer is C.
The vertex is the point where two different rays meet, forming an angle.
It can also simply be the point where 2 straight lines simply meet.
Option A is NOT correct because a vertex is not angle, it is a <em>part </em>of an angle.
Option B is NOT correct because, if there's only one segment, we cannot form a vertex.
See the image below for an example:
(2x + 10) + (6x + 1) = 180 - 79