document.write( "Question 1028812: Write a formula to find the number of sides n in a regular polygon given that the measure of one exterior angle is x°. \n" ); document.write( "
Algebra.Com's Answer #643854 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the number of sides = 360 / x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example, assume you have an octagon (8 sided figure).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the external angle would be 360 / 8 = 45.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore, the number of sides would be 360 / 45.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this works for any polygon.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a pentagon has an internal angle of 108 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the external angle is the supplement of that, which is equal to 72 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "360 / 72 = 5, which is the number of sides of the pentagon.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |