The sum of the interior angles of a polygon is 2n-4 Right Angles
For a nonagon (2x9)-4 RAs = 14x90°=1260°
To find the interior angle of a regular nonagon, divide this by 9 which gives 140°
To find the exterior angle, subtract this from 180 and you get 40°.
The sum of the exterior angles of a polygon is 360°, so for a regular polygon you can also divide this by the number of sides, which in this case also gives: 360° ÷ 9 = 40°
Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees
Each interior angle is 140 degrees. Each exterior angle is 220 degrees.
Each exterior angle: 40 degrees Each interior angle: 140 degrees
Exterior angle 40 degrees Interior angle 140 degrees
Exterior angles 360 degrees Interior angles 1260 degrees
It is a 9 sided nonagon and its 9 interior angles add up to 1260 degrees
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
Each exterior angle = 360/number of vertices = 360/9 = 40 degrees.Each interior angle = 180 - exterior angle = 180 - 40 = 140 degrees.
1260
180-interior angle = exterior angle
The measure of the exterior angle.
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.