The measure of an interior angle of a regular nonagon is 140o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A nonagon interior angle is then 7 x 180o/9 = 140o.
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If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
A regular nonagon is a shape with 9 equal sides, right? Well, with the equation (n-2)180, where n is the number of sides, you can find the sum of the interior angles. Then you divide that number by n to get the measure of each interior angle. You do the rest. If your in A+:140'
Exterior angle 40 degrees Interior angle 140 degrees
If it is a regular nonagon, then you use the following formula: [(s-2) x 180]/s = angle of one interior angle. (s means the number of sides) Then solve: [(s-2) x 180]/s = [(9-2) x 180]/9 = [7 x 180]/9 = 1260/9 = 140. Then, for the exterior angle, subtract 140 from 360. The measure of the exterior angle of a regular nonagon is 220.
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.