What is the measure of an exterior angle of a regular 13-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.

Question

What is the measure of an exterior angle of a regular 13-sided polygon?



Enter your answer as a decimal in the box.

Round to the nearest tenth of a degree.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the measure to the exterior angle of a 13 sided polygon. First, we find the measure of the interior angle of a 13-sided polygon by using the formula 180(n-2), where n represents the number of sides to a n-sided polygon. Then,

180(n-2) = 180(13-2) = 180(11) = 1980 degrees total. We divide the total number of degrees by 13 sides to get

1980 / 13 sides = 152.3 degree for the interior angle, right ? Thus, we subtract 152.3 to obtain the exterior angle such that

180 - 152.3 = 27.7 degrees

I hope this helped!