Question

If a regular polygon has one exterior angle measuring 1°, then it has how many sides?

Answer 1

well we know a regular polygon has equiangular and equalateral right?

Answer 2

not sure of what that means altho i think they equal 360 degrees together

Answer 3

That's right, sum of exterior angles is 360 deg

Answer 4

http://www.mathwarehouse.com/geometry/polygon/#interiorAngleRegularPolygon

Answer 5

360 sides?

Answer 6

where would the 1 go in that .. n?

Answer 7

shoot wait a sec

Answer 8

Sum of exterior angles - 360.

There are \(n\) sides, so each exterior angle is \(\dfrac{360}{n}\).

If the angle measure of one exterior angle is 1, then solve for \(n\):
\[\frac{360}{n}=1~~\Rightarrow~~n=360\]