Posted by Emily on Thursday, September 27, 2007 at 9:04pm.
In a regular polygon (equal sides and angles), you use (n2)180 to find out what the interior angle sum is (n=number of sides in polygon) and you divide by that number by whatever n is to find out the measure of an individual angle, right? Well, there is going to be a problem on tomorrow's geometry test where we are given the measure of an interior angle of a regular polygon (for instance, one angle=150 degrees), but I can't tell how to do that. I figured it would be something like this:
(n2)180
 = 150
n
But, it dosn't work out too well when I try to single out n. Can someone tell me how to do this?
P.S. Sorry that my explanation was so long  I was trying to get the information out there :) THANKS!!!

Geometry  bobpursley, Thursday, September 27, 2007 at 9:12pm
Take an interior angle: 150 degrees. How many sides?
the sum of interior angles is 150n (n angles, each 150 degrees)
but (n2)180= 150n (both are sum of interior angles, and equal, so
180n360=150n
30n=360
n= 12
\thats it.

Geometry  Emily, Thursday, September 27, 2007 at 9:18pm
Oh  I get it! Thank you so much for helping me out, I really needed that info for tomorrow's test. Thx!

Geometry  Colleen, Wednesday, April 15, 2009 at 5:04pm
i have absolutely no idea how to do this!
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