Formula for number of sides, n = 360 / e
Where e is the exterior angle for the number of sides.
e = 21.2°
Number of sides for the regular polygon, n = 360° / 21.2°
n ≈ 16.98
The number of sides is approximately 16.98 sides..Does that make sense?
It does not. In fact, the exterior angle of a regular polygon has to be wholly divisible into 360°.
In the case 21.2° can't clearly be the exterior angle, the question is wrongly set.
The exterior can be say 20°.