Question

If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

Answer 1

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°.