Question

The exterior angle of a polygon is 40°. Calculate:
a) The size of the interior angle.
b) The number of sides of the polygon.

Answer 1

Step-by-step explanation:

a) Interior angle = 180° - 40° = 140°

b) Let the number of sides of the polygon be n.

As we know,

Sum of all exterior angles= 360°

=> 40° × n = 360°

=> n = 9

The polygon has 9 sides.