document.write( "Question 1131517: A regular polygon has interior angles that are 5 times larger than the sum of its exterior angles. Calculate how many sides it has. \n" ); document.write( "
Algebra.Com's Answer #748184 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are problems with the statement of the problem. Instead of trying to guess what the real problem is, I will just respond to the problem as stated. \n" ); document.write( "\"A regular polygon has interior angles that are...\" \n" ); document.write( "Those words indicate that we are talking about EACH interior angle -- not the sum of the interior angles. \n" ); document.write( "\"...5 times larger than the sum of the exterior angles.\" \n" ); document.write( "The sum of the exterior angles of any polygon is 360 degrees. \n" ); document.write( "\"5 times larger than\" means 6 times as large as (the number plus 5 times the number = 6 times the number); but it is probable that the intended meaning is 5 times as large as. So to try to solve the problem I would have to guess which the intended meaning is. \n" ); document.write( "But either interpretation of \"5 times larger than\" leads to impossible conditions. The statement of the problem as shown says each interior angle of a polygon is either 5 or 6 times 360 degrees. Clearly there is no polygon in which each interior angle is either 1800 or 2160 degrees. \n" ); document.write( "So, as stated, we can't help you solve it. \n" ); document.write( "If you want help with it, re-post it so it is clear and makes sense. \n" ); document.write( " |