To find the measure of one interior angle of a regular 18-gon, we will start by finding the sum of its interior angles. Let's substitute 18 for n in this expression.
The sum of the interior angles of a 18-gon is 2880^(∘).
Now, recall that a regular polygon is a polygon in which all the angles have the same measure. Therefore, a regular 18-gon has 18 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by 18.
Sum of Angles:& 2880^(∘) [0.5em]
One Angle:& 2880^(∘)/18=160^(∘)
