# 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

2 answers

###### 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

a.

720

b.

60

c.

120

d.

360

## Answers

Answer = b. 60Firstly, 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 = 720Afterwards, 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 = 120Afterwards, you do:180 - 120 (in order to find out the exterior angle)180 - 120 = 60So then the exterior angle should be 60.I’m pretty sure there’s a quicker method but i can’t remember it sorry lol

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

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