document.write( "Question 1119564: If the sum of the interior angles of a regular polygon measures upto 1440 degree, how many sides does the polygon have..? \n" ); document.write( "
Algebra.Com's Answer #735121 by Theo(13342) You can put this solution on YOUR website! the formula for the sum of the interior angles of a regular polygon is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = (n-2) * 180.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when S = 1440, the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1440 = (n-2) * 180.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 180 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1440/180 = n - 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for n to get n = 1440/180 + 2 = 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the polygon has 10 sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it's a decagon.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |