Exterior angle 40 degrees
Interior angle 140 degrees
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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.
360/9 = 40 degrees
According to theorem 5.4 Every Exterior angle of a regular polygon measures 360/N so all you would do I dived 360 by the number of sides a Nonagon have which is 9
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.
Interior angle 177.12 degrees Exterior angle 2.88 degrees