There is a corresponding side to every angle. 20... A polygon has as many sides as it does angles.
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20
There are 18 sides.
Sum of interior angles of n-sided polygon = 180n - 360 degrees. When n = 20 this gives 3240o
Exterior angles = 180 - 177 ie 3o; Number of sides = 360/exterior angle = 360/3 = 20.
If you rotate a 20-sided regular polygon by 360/20 degrees, the result will look the same as the original polygon. Any additional rotation will be a multiple of this number.