The measure of each interior angle of a regular n -gon is (n-2)180n.
140
Practice makes perfect
Let's find the measure of an interior angle of a regular nonagon, which is a polygon with 9 sides. Recall that the measure of each interior angle of a regular n -gon is ( n-2)180 n. To find the measure of an interior angle of a nonagon we have to substitute 9 for n in this expression.
( 9-2)180/9=140
The measure of the interior angle is 140.