A "vertex".
"Angle" is also used, though strictly speaking this is the measurement between the two sides.
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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.
Polygon
A polygon with 3 sides is called triangle A polygon with 4 sides is called quadrilateral A polygon with 5 sides is called pentagon A polygon with 6 sides is called hexagon A polygon with 7 sides is called heptagon A polygon with 8 sides is called octagon
When two sides of a polygon meet they meet at a point called a vertex. If it's two lines that intersect each other and keep going it is called a transversal.
A polygon with 7 sides is called a heptagon.