Respuesta :
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
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
