document.write( "Question 859614: the sum of the interior angles of a convex polygon is 1080 (a)how many sides does the polygon have, (b)suppose the polygon is reular, what is the measure of each interior angles? \n" ); document.write( "
Algebra.Com's Answer #517848 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! a)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S = 180(n-2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1080 = 180(n-2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1080/180 = n-2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 = n-2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 + 2 = n\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 = n\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 8 sides.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide the sum 1080 by 8 to get 1080/8 = 135\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Each interior angle is 135 degrees. This is if the polygon is regular.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: this is a regular octagon. \n" ); document.write( " |