Question

The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?

Answer 1

`18 " sides "`

Explanation:

with regular polygons it is best to remember that:

`(1)" "`all the EXTERIOR angles add up to `360^0`

`(2)" "` `1 " exterior angle"+ 1" interior angle "=180^0`

Work with the exterior angles. In this case:

`1 " int. <"=180-160=20^0`

`"No. of sides "=360/20=18`