Q: If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?

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Pentagon A+

It is a regular 10 sided decagon

A Regular Polygon

The sum of the exterior angles is 360. So we have 360/n= 72 or 72n=360 from which we see n=360/72=5 So it is a pentagon! Dr. Chuck

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square

Pentagon A+

A square.

It is a regular 10 sided decagon

Square, or a rectangle. * * * * * Since it is a REGULAR polygon, it cannot be a rectangle. So the only answer is a square.

The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).

If it is a regular polygon then it will have 360/12 equals 30 sides

A nine sided shape that is called a regular nonagon.

The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.

It will have 360/24 = 15 sides

With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees

18 sides. The sum of all the exterior angles equals 360Â°, for any polygon. See related link.