document.write( "Question 408195: The measure of an interior angle of a regular polygon is three (3) times the measure of the exterior angle. How many sides does the polygon have? Is there a formula or something that needs to be used? \n" ); document.write( "
Algebra.Com's Answer #287697 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two ways to find the number of sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution 1: \n" ); document.write( "If you know that the sum of the exterior angles of an n-gon is 360 degrees, and that in this case the exterior angle is 45 degrees, then the number of sides is 360/45 = 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution 2: \n" ); document.write( "The sum of the measures of the interior angles of an n-gon is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |