Question

Find the measure of an exterior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.

a.
720

b.
60

c.
120

d.
360

Answer 1

Always the sum of the exterior angles of a regular polygon is 360.

Answer 2

Answer = b. 60

Firstly, find out how many degrees are in the 6 sided polygon, you can use this equation

(n stands for the number of sides)
(n - 2) x 180
(6 - 2) x 180 = 720

Afterwards, to find out the interior angle (in order to find out the exterior angle), divided 720 by the number of sides the polygon has, which is 6.

720 / 6 = 120

Afterwards, you do:
180 - 120 (in order to find out the exterior angle)

180 - 120 = 60

So then the exterior angle should be 60.



I’m pretty sure there’s a quicker method but i can’t remember it sorry lol