document.write( "Question 341458: if the sum of the interior angles measure of a polygon is 1440 degrees, how many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #244505 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sum of the interior and exterior angle at each vertex = 180 degs \n" ); document.write( "The sum of the exterior angles for ALL polygons = 360 degs \n" ); document.write( "Add 360 to 1440 = 1800 degs \n" ); document.write( "1800/180 = 10 sides \n" ); document.write( "--------------------- \n" ); document.write( "The usual method: \n" ); document.write( "Sum of interior angles = 180*(n-2) = 1440 \n" ); document.write( "180n - 360 = 1440 \n" ); document.write( "180n = 1800 \n" ); document.write( "n = 10 \n" ); document.write( "------------- \n" ); document.write( "Add 360 to the interior total, divide by 180, either way. \n" ); document.write( " \n" ); document.write( " |