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2 years ago

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

1 answer:

nydimaria [60]2 years ago

4 0

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°.

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