document.write( "Question 456232: the perimeter od a polygon is 72 feet. An exterior angle of the polygon is 30 degrees. what is the length of each side? so far i have 8(180)-360/8 to find the interior angle and i got 135 degrees which i dont think is right \n" ); document.write( "
Algebra.Com's Answer #313131 by stanbon(75887) ![]() You can put this solution on YOUR website! the perimeter of a polygon is 72 feet. An exterior angle of the polygon is 30 degrees. what is the length of each side? \n" ); document.write( "--- \n" ); document.write( "Fact: The sum of the exterior angles is 360 degrees. \n" ); document.write( "--- \n" ); document.write( "I am going to assume the polygon is a regular polygon (all sides \n" ); document.write( "are equal). \n" ); document.write( "--- \n" ); document.write( "There are 360/30 = 12 exterior angles of size 30 degrees. \n" ); document.write( "--- \n" ); document.write( "Therefore there are 12 equal sides. \n" ); document.write( "--- \n" ); document.write( "The length of one side is 72/12 = 6 feet \n" ); document.write( "============================================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H \n" ); document.write( "=========== \n" ); document.write( " |