Question

The exterior angle of a regular polygon is one-third of it's interior angle. Find the number of sides of the polygon?

Answer 1

Answer:

8,

Step-by-step explanation:

The sum of the interior and exterior angle of any polygon at any vertex is 360°.

Let the x= the exterior angle

3x+ x = 180°

4x = 180°

x = 180°/4

x = 45°

The sum of all exterior angles of any polygon is 360°.

360/ 45 = 8 .

The number of sides of polygon is 8.