document.write( "Question 1024085: Prove by mathematical induction that the sum of the interior angles of a regular polygon of n sideas (n-1)180 \n" ); document.write( "
Algebra.Com's Answer #639576 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! The answer is (N-2)180 and the induction is as follows -\r \n" ); document.write( "\n" ); document.write( "A triangle has 3 sides and 180 degrees \n" ); document.write( "A square has 4 sides and 360 degrees \n" ); document.write( "A pentagon has 5 sides and 540 degrees\r \n" ); document.write( "\n" ); document.write( "The relation between N sides and degrees, is (N-1)180\r \n" ); document.write( "\n" ); document.write( "Try drawing the 3 figures. Draw one diagonal to cut the square into 2 triangles. Not draw 2 lines in the pentagon from one vertex, to make 3 triangles. Each triangle has 180 degrees. \n" ); document.write( " |