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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+

A Regular Polygon

120

We know that the sum of a polygon's exterior angles, one at each vertex, equals 360 degrees. So at each angle extended from each side there is an angle of 30 degrees. If x= number of sides, then 30x = 360. Divide by 30 and x = 12.

It will have 8 sides and it is called a regular octagon.

Related questions

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.

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.

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