document.write( "Question 881292: If an interior angle of a regular polygon measures 144°, how many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #532139 by Theo(13342)![]() ![]() You can put this solution on YOUR website! see the picture below after the comments.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have 2 ways to do it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first way: \n" ); document.write( "the exterior angle is equal to 180 - the interior angle. \n" ); document.write( "the sum of the exterior angles is always equal to 360 degrees. \n" ); document.write( "find the exterior angle and divide it into 360 and you get the number of sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "second way: \n" ); document.write( "the formula for finding the interior angle is: \n" ); document.write( "interior angle = (n-2) * 180 divided by n \n" ); document.write( "since you already know the interior angle, use this formula to find n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the picture shows you both calculations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "IA means interior angle. \n" ); document.write( "EA means exterior angle.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " |