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Pentagon A+

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

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It is a regular 10 sided decagon

The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.

A Regular Polygon

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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

Related questions

square

A square.

It is a regular 10 sided decagon

The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.

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.

It will have 360/24 = 15 sides

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

A Regular Polygon

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