To find the measure of one interior angle of a regular nonagon we will start by finding the sum of its interior angles. Let's substitute 9 for n in this expression.
The sum of the interior angles of a nonagon is 1260^(∘).
Now, recall that a regular polygon is a polygon in which all the angles have the same measure. Therefore, a regular nonagon has 9 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by 9.
Sum of Angles:& 1260^(∘) [0.5em]
One Angle:& 1260/9=140^(∘)
