What is the measure of one angle of a regular polygon with 18 sides?

The sum of the angles of a polygon is given by the
formula:

(n-2)(180)

where n is
the number of sides, which in this case is 18.

So we will
replace n with 18 and evaluate.

(18-2)(180) = (16)(180) =
2880

But this is all the angles, and we just want to know
one angle.

So we must divide by the number of angles,
18.

2880/18 = 160
degrees

The answer is 160
degrees.