Question

Each exterior angle of a regular polygon is 18 degrees. How many sides does the polygon have?

Answer 1

`20`

Explanation:

For a regular polygon with `n` sides, the exterior angle of any side is equal to

`"exterior angle"=(360˚)/n`

Thus, in this scenario,

`18˚=(360˚)/n`

Solve for `n`, the number of sides in the polygon.

`n(18˚)=360˚`

`n=(360˚)/(18˚)=20`

The polygon has `20` sides.