document.write( "Question 1036354: The interior angle of a polygon is 100. The other interior angle are all equal to 110. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #651012 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! Use the fact that the sum of the exterior angles of a polygon add up to 360 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The exterior angle of a 100-degree angle measures 80 deg, and the exterior angle of a 110-degree angle measures 70 deg. Let s be the number of sides of the polygon. Then\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80 + 70(s-1) = 360 (note: must use s-1 instead of s) \n" ); document.write( "70(s-1) = 280 \n" ); document.write( "s = 5 \n" ); document.write( " |