Clockwise or anticlockwise edges in a polygon

Suppose a polygon with $n$ vertices is given $(V_1,V_2,... V_n)$.
If the $(x,y)$ coordinates of the each vertex of the polygon are given, then how can we find that the vertices $V_1,V_2,V_3$... $V_n$ are in clockwise or anticlockwise fashion? - that is, I need to find that if we are moving from $V_1,V_2,\dots V_n$, we are in clockwise or anticlockwise direction.

What I tried :
I found the center of the polygon and took the origin of the coordinate system at the center, and then calculated the angle between the $x$ axis and the vertex.

Problem :
Two vertices may be at same angle.

I need some solution which can be implemented in computer logic.