which point represents the vertex of the marked angle.

Point E represents the vertex of the marked angle in the figure.
The vertex of an angle is uniques and it is defined as the point where two edges or arms of the angle meet i.e. the common point of the two arm of the angle.
Here in the given figure marked angle is ∠CEB
Arms of the angle ∠CEB is EC and EB.
So these two arms are EC and EB.
These two arms of the angle EC and EB meet at point E.
i.e. E is the common point of the two side EC and EB of the angle ∠CEB.
So according to the defination of the vertex of the angle,
E is the vertex of the angle ∠CEB.
Therefore, Point E represents the vertex of the marked angle in the figure.
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