exterior angle = 360 divided by the number of sides
e = 360/s
40 = 360/s
multiply each side by s
40s = 360
divide each side by 40
s = 9
9 sides
Each interior angle: 140 degrees Each exterior angle: 40 degrees
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.
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
Finding the exterior angle of a regular polygon is really simple, divide 360 by the number of sides. So: 360/40=9 degrees.
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 is 9 degrees then it is a regular 40 sided polygon.
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
A regular polygon with an exterior angle of40O is a nonagon, and has 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.
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
Each interior angle: 140 degrees Each exterior angle: 40 degrees
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.
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
Then it will have 9 equal sides.
Exterior angle = 360*9 = 40 degrees. So interior angle = 180 - 40 = 140 deg
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.