document.write( "Question 617638: The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #388466 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! I = (180(n-2))/n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "160 = (180(n-2))/n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "160n = 180(n-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "160n = 180n-360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "160n - 180n = -360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-20n = -360\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = -360/(-20)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = 18\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the solution is n = 18, which means that there are 18 sides. \n" ); document.write( " |