Question

If a regular polygon has one exterior angle measuring 1°, then it has_______ sides.

Answer 1

The measure of the exterior angle of a regular polygon is given by the formula
`(360)/(n)` where
`n` is the number of sides.
To find the number of sides of a polygon with the exterior angle measuring
`1^(\circ)` we have to solve the equation
`(360)/(n)=1`.


`(360)/(n)=1|\cdot n\\ n=360`

It has 360 sides.