if the exterior angle is 40 degrees the interior angle of the polygon is 180- 40 = 140 degrees. The equation for sides N is interior angle = 180 x (N-2)/N; solving you find N = 9 sides
The sum of the exterior angles of a regular polygon equal 360° .If one such angle measures 40° then the polygon has 360/40 = 9 sides.
It will have 9 equal sides.
360/9 = 40 sides
9 equal sides
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
if the exterior angle is 40 degrees the interior angle of the polygon is 180- 40 = 140 degrees. The equation for sides N is interior angle = 180 x (N-2)/N; solving you find N = 9 sides
The sum of the exterior angles of a regular polygon equal 360° .If one such angle measures 40° then the polygon has 360/40 = 9 sides.
Providing that it is a regular polygon then it is a nonagon which has 9 sides
Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.
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
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
It will have 9 equal sides.
360/9 = 40 sides
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.
9 equal sides
It is: 360/9 = 40 sides