Question

If the sum of the interior angle lease of a polygon with n sides is 1800 degree,find n.

Answer 1

sum of interior angle is given by the formula;

sum of interior angle = (n-2) 180°

1800° = (n- 2) 180°

divide both-side of the equation by 180°

10 = n- 2

add 2 to both-side of the equation

10+2 = n

12 = n

n= 12