document.write( "Question 426993: The sum of the interior angles of a polygon is 540°. How many sides does this polygon have? \n" ); document.write( "
Algebra.Com's Answer #297465 by gwendolyn(128)![]() ![]() You can put this solution on YOUR website! The sum of the interior angles of a polygon is equal to 2 less than the number of sides the polygon has multiplied by 180. \n" ); document.write( "This can be expressed in an equation as: \n" ); document.write( "a=180(s-2) where a equals the sum of interior angles and s equals the number of sides the polygon has. \n" ); document.write( "If we plug 540 in as the 'a' value, we find that: \n" ); document.write( "540=180(s-2) \n" ); document.write( "We can then divide both sides of the equation by 180: \n" ); document.write( "3=s-2 \n" ); document.write( "Finally, we can add 2 to both sides of the problem: \n" ); document.write( "5=s \n" ); document.write( "Therefore we find that the polygon has 5 sides. \n" ); document.write( " |