by every letter on the vertex or side you can put a letter and that will name the polygon.
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The answer depends on what attributes you want to use for classification. These could be:number of sides (vertices),whether or not all sides are equal,whether or not all angles are equal,whether or not all sides and angles are equal (regular),number of parallel sides,number of perpendicular sides,order of rotational symmetry,number of lines of symmetry,convex or concave,various combinations of the above.
All polygons do not necessarily have a specific name. It is accepted practice to use the number of sides of the polygon as the name if one is not given or known. For example a 37-ogon
Triangles, squares and hexagons. That is if they all have to be the same. If you use different regular polygons, you can tile a flat surface with triangles and 12-sides or with squares and 8-sides for example.
use the inverse sine or cosine or tangent
A decagon has 10 sides and 10 angles.