document.write( "Question 187068: how do you find the number of sides when you have the interior angle? \n" ); document.write( "
Algebra.Com's Answer #140224 by Alan3354(69443) You can put this solution on YOUR website! how do you find the number of sides when you have the interior angle? \n" ); document.write( "--------------------- \n" ); document.write( "Assuming it's a regular polygon, all the angles and sides are equal, \n" ); document.write( "The sum of all the interior angles is (n-2)*180, n = number of sides. \n" ); document.write( "The interior angles, then, are (n-2)*180/n. \n" ); document.write( "---------------- \n" ); document.write( "A = (180n - 360)/n \n" ); document.write( "------------------Solve for n \n" ); document.write( "An = 180n - 360 \n" ); document.write( "n(A - 180) = -360 \n" ); document.write( "n = 360/(180 - A) \n" ); document.write( "------------ \n" ); document.write( "Not all values of A work, n has to be an integer. \n" ); document.write( " |