The vertex is a point of polygon or polyhedra that is formed by 2 lines or 3 edges on a polyhedron.
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An angle is formed at each vertex of a polygon.
Two triangles can be formed by the diagonals of one vertex of a four-sided polygon.
An angle is formed at the vertex
If you mean an angle then an angle is formed by two straight lines meeting at a vertex.
It is formed at a vertex when two line segments meet each other