document.write( "Question 193886: One exterior angle of a regular polygon measures 24 degree.Wat is the sum of measures of its interior angles of a polygon? \n" ); document.write( "
Algebra.Com's Answer #145565 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One exterior angle of a regular polygon measures 24 degree.What is the sum of measures of its interior angles of a polygon? \n" ); document.write( "-------------------- \n" ); document.write( "The sum of the exterior angles of any regular polygon is 360 degrees. \n" ); document.write( "Since you have a 24 degree angle there are 360/24 = 15 sides and \n" ); document.write( "15 interior angles. \n" ); document.write( "------------- \n" ); document.write( "Each interior angle is the supplement of its exterior angle. \n" ); document.write( "The supplement of 24 is 180-24 = 156 degrees. \n" ); document.write( "------------ \n" ); document.write( "The sum of the interior angles is 15*156 = 2340 degrees. \n" ); document.write( "=============================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |