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.
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
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