Question 907255
<font face="Times New Roman" size="+2">


The sum of measures of the interior angles of any <i>n</i>-gon is given by *[tex \Large 180(n\ -\ 2)].  Since this is a regular polygon and since the number of interior angles of any polygon is equal to the number of vertices is equal to the number of sides, if the measure of one interior angle is 162 degrees, then the sum of the measures of the interior angles must be *[tex \Large 162n], hence:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180(n-2)\ =\ 162n]


So solve for *[tex \Large n] to determine the number of sides and multiply the number of sides times the given measure of one side to get the perimeter.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank">
<img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>