The sum of interior angels and the sum of exterior angles of polygon are in the ratio 9:2.find the sides of regular polygon.

1 answer

The sum of the exterior angles of any polygon is 360°
the interior sum is 180(n-2), where n is the number of sides

so 180(n-2) = 360
n-2 = 2
n = 4

so it is true for any quadrilateral