Question

The exterior angles of a polygon is 18°. How many sides does it have?

Answer 1

20

Explanation:

Sum of exterior angle of a polygon = 360/n

Where n is the number of sides

Putting 18° into the equation,

360/n = 18

Cross multiplying,

18n/18 = 360/18

Therefore, the no of sides of the polygon is 20

Answer 2

20

Explanation:

The sum of the exterior angles of a polygon = 360°

Given 1 exterior angle = 18° , then

number of sides =
`(360)/(18)` = 20