It is an 8 sided octagon
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20 sides 1/2*(202-60) = 170 diagonals
A regular octogon (8 sides) has 20 diagonals. An irregular octogon also has 20 diagonals, but only if all its points point outwards.
Kinds of polygons with their meanings are: Convex (all diagonals are internal), concave (at least one diagonal is outside the shape), equilateral (equal sides), equiangular (equal angles), regular (equal angles and sides), irregular, (no equal angles and sides), triangle (3 sides), quadrilateral (4 sides), pentagon (5 sides), hexagon (6 sides), heptagon (7 sides), octagon (8 sides), enneagon or nonagon (9 sides), decagon (10 sides), hendecagon (11 sides), dodecagon (12 sides), tridecagon or triskaidecagon (13 sides), tetradecagon or tetrakaidecago (14 sides), pendedecagon (15 sides), hexdecagon (16 sides), hepdecagon (17 sides), ocdecagon (18 sides), enneadecagon (19 sides) and icosagon (20 sides).
There is no limit to the number of sides that a particular shape can have. The Icosahedron has 20 sides. It would tend to the circle as the number tends to infinity: even a 360-sided polygon (1 degree internal angles) would look a bit like like a pixellated circle.
Well, honey, a shape with 20 sides is called an icosagon. It's like a polygon on steroids, with all those sides flaunting their angles like they're on a runway. So next time you need to impress someone with your geometry knowledge, just drop the word "icosagon" and watch them swoon.