Q: If the exterior angle of a regular polygon equals seventy-two degrees what is the polygon?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

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.

Pentagon A+

It is a regular 10 sided decagon

If the 12-sided polygon is 'regular', then each of its exterior angles is 30 degrees. Whether the polygon is regular or not, all 12 of its exterior angles still add up to 360 degrees, but they may not all be equal.

Providing that it's a regular polygon then each exterior angle will measure 12 degrees.

Related questions

A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides

That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.

No.

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 will have 360 sides with exterior angles of 181 degrees.

There can be no such polygon. The sum of the exterior angles of ANY polygon is 360 degrees. If it is a regular polygon, then the number of angles MUST divide 360 degrees. Since 18.95 does not divide 360, there cannot be such a polygon. If the exterior angle was 18.94737... degrees, it would be a 19-sided polygon.

If its a regular 9 sided polygon then the exterior angles are 40 degrees.

Each exterior angle is 15 degrees

square

Pentagon A+

8

If each exterior angle is 9 degrees then it is a regular 40 sided polygon.