document.write( "Question 4305: what is the sum of the measure of the exterior angle of a convex 13-gon \n" ); document.write( "
Algebra.Com's Answer #1949 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! No matter what size of polygons (convex or concave). \n" ); document.write( " the sum of the measure of the exterior angles is always 2pi.\r \n" ); document.write( "\n" ); document.write( " Proof: For any n polygons(n > 3),since we can divide it \n" ); document.write( " as (n-2) triangles. So,the sum all its interior angles \n" ); document.write( " is (n-2)pi. Since an interior angle + its corresponding exterior \n" ); document.write( " angle = pi. We see that the sum of all exterior angles \n" ); document.write( " = n*pi - (n-2)pi = 2 pi\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |