Each exterior angle: 40 degrees Each interior angle: 140 degrees
360 /each exterior angle
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.
180-interior angle = exterior angle 360/exterior angle = number of sides
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
Exterior angle 40 degrees Interior angle 140 degrees
Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees
Each exterior angle: 40 degrees Each interior angle: 140 degrees
Each interior angle is 140 degrees. Each exterior angle is 220 degrees.
Providing it is a regular nonagon: Exterior angle: 40 degrees Interior angle: 140 degrees
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°
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.
40 degrees
Interior angle 177.12 degrees Exterior angle 2.88 degrees
Each interior angle measures 140 degrees
Each interior angle measures 140 degrees
Each interior angle measures 140 degrees