document.write( "Question 843190: The sum of the measures of the vertex angles of a certain polygon is 2880. How many sides does the polygon have? I got the answer as 18, but I am not entirely sure how. \n" ); document.write( "
Algebra.Com's Answer #507985 by Theo(13342) You can put this solution on YOUR website! the sum of the vertex angles is 2880. \n" ); document.write( "the sum of the angles of a polygon is given by the equation: \n" ); document.write( "S = (n-2)*180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have S. \n" ); document.write( "you need to solve for n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2880 = (n-2) * 180 \n" ); document.write( "divide both sides of this equation by 180 to get: \n" ); document.write( "16 = n-2 \n" ); document.write( "add 2 to both sides of the equation to get: \n" ); document.write( "n = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is correct. \n" ); document.write( "the formula to use is: \n" ); document.write( "S = (n-2) * 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |