Question

What is the measure of each exterior angle in a regular 10-sided polygon?
A. 18°
B. 180°
C. 360°
D. 36°

Answer 1

The formula for the sum of interior angles of a polygon is : 180(n-2).
Plug 10 in for n.

180(10-2) = ?

Once you find the sum, divide it by 10 to find the measure of one interior angle.


Then, find the supplement of one interior angle to get the exterior angle measure.

Answer 2

Note that you can also use the formula \[\frac {360}n\] to find the exterior angle. I think that's easier, since it's only one step :)