Question 1178667


The measure of each exterior angle of a regular n-gon is {{{18}}}°.

A) Find the value of n.
The sum of the n exterior angles for any convex polygon with n sides is 360 degrees.
{{{18n=360}}}
{{{n=360/18}}}
{{{n=20}}}

B) What is the measure of each interior angle?

The measure of each angle in a regular n-gon is

{{{m}}} <  ={{{ (n-2)180/n}}}˚.......{{{n=20}}}

{{{m}}} <  ={{{ (20-2)180/20}}}˚

{{{m}}} <  ={{{ 162}}}˚