document.write( "Question 876933: How do I find the number of sides a polygon has by the measurement of one interior angle? \n" ); document.write( "
Algebra.Com's Answer #529058 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! If the polygon is a REGULAR polygon, then the \n" ); document.write( "measurement of one interior angle (IA) is equal to \n" ); document.write( "((n-2)*180) / n, where n is the number of sides of the regular polygon, therefore if you know the measure of IA, you can calculate n, that is \n" ); document.write( "IA = ((n-2)*180) / n \n" ); document.write( "IA*n = (n-2) * 180 \n" ); document.write( "IA*n = 180n - 360 \n" ); document.write( "IA*n - 180n = -360 \n" ); document.write( "n(IA - 180) = -360 \n" ); document.write( "n = -360 / (IA - 180)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |