Question

the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon

Answer 1

227 sides

Explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.