If xyz is an arc of a curve, there won't be a vertex; however, if xyz is a triangle, there will be a vertex for each of x, y, and z.
<h3>What is a vertex?</h3>
The vertex of an angle is the location where two rays start or meet, two line segments join or meet, two lines intersect (cross), or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one point.
If the internal angle of the polygon—the angle produced by the two edges at the vertices with the polygon inside the angle—is smaller than radians (180°, two right angles), the vertex is said to be "convex"; otherwise, it is said to be "concave" or "reflex." In general, a vertex of a polyhedron or polytope is convex if its intersection with a suitably tiny sphere centered at the vertex is convex, and concave otherwise.
Hence, If xyz is an arc of a curve, there won't be a vertex; however, if xyz is a triangle, there will be a vertex for each of x, y, and z.
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