document.write( "Question 299273: ach angle of a regular n-gon measures 156 degrees. How many sides does the n-gon have? \n" ); document.write( "
Algebra.Com's Answer #215098 by stanbon(75887) ![]() You can put this solution on YOUR website! Each angle of a regular n-gon measures 156 degrees. How many sides does the n-gon have? \n" ); document.write( "---- \n" ); document.write( "Each corresponding exterior angle is 180-156 = 24 degrees. \n" ); document.write( "---- \n" ); document.write( "Fact: The sum of the exterior angle is 360 \n" ); document.write( "---- \n" ); document.write( "The number of exterior angles is 360/24 = 15 \n" ); document.write( "----- \n" ); document.write( "Therefore the number of sides must be 15 \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |