A vertex is the point where two (or more) lines meet. Polygons have vertices.
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regular pyramid
A vertex of a polygon is where 2 sides meet
an angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices.
A point that two sides of a polygon have in common is called a vertex. Each regular polygon has an equal number of sides as vertices.
In a polygon with n sides, the number of diagonals that can be drawn from one vertex is given by the formula (n-3). Therefore, in a 35-sided polygon, you can draw (35-3) = 32 diagonals from one vertex.