Question

If the sum of interior angle is 3780 degree.find the number of sides

Answer 1

The sum of the interior angles of a polygon is.

Sum = 180(n-2) where n is the number of sides

Thus 180(n-2) = 3780

n-2=3780/180 =21

⇒ n = 21+2 = 23

number of sides is 23

Answer 2

Sum of interior angles of n sided polygon = (n - 2) * 180

(n - 2) 180 = 3780

180n - 360 = 3780

180n =  4140

n = 4140 / 180  = 23 sides  Answer