Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
Interior angle = 140 deg so exterior angle = 40 deg. Sum of exterior angles = 360 so 360/40 = 9 such angles required. So the figure has 9 sides.
a nine sided polygon is called a nonagon.
If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
360 / 9 = 40
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=9, then the answer is that the interior angle = 140The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 9, then the answer is that the exterior angle = 40
400 exterior angle = 360/9 = 400
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees