document.write( "Question 826835: Each exterior angle of a regular polygon measures 20 degrees. Determine the sum of its interior angles. \n" ); document.write( "
Algebra.Com's Answer #498303 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! Some key facts we will use:
\n" ); document.write( " \n" ); document.write( "So there are 18 exterior angles. This also means that there are 18 vertices and 18 interior angles. \n" ); document.write( "Since each interior/exterior pair is supplementary and since the exterior angle is 20, the interior angle is 180-20 = 160 degrees. \n" ); document.write( "So with 18 interior angles, each of them 160 degrees, we have: \n" ); document.write( "18*160 = 2880 \n" ); document.write( "for the sum of all the interior angles. \n" ); document.write( " |