document.write( "Question 1175260: If the equation (n-2)x180= sum of interior angles and when we are given the interior angles use this (n-2)x180=sum (n) but when given a sum of 900 have to use the original equation? (n-2)x180=900 180n-360=900 180n=1260 n=7 \n" ); document.write( "
Algebra.Com's Answer #800865 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
yes.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the equation is that the sum of the internal angles is equal to (n - 2) * 180 where n is the number of sides in the polygon.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in a triangle, n = 3 and the sum of the internal angles is 1 * 180 = 180.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in a quadrilateral, n = 4 and the sum of the intenal angles is 2 * 180 = 360.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if the sum of the internal angles is 900, then the equation becomes:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(n - 2) * 180 = 900.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "this simplifies to 180 * n - 360 = 900\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add 360 to both sides of the equation to get 180 * n = 1260.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for n to get n = 7.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the polygon is a 7 sided figure.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "i think that's called a heptagon.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "here's more than you probably wanted to know about the names of polygons.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.mathsisfun.com/geometry/polygons.html\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );