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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