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
Chat with our AI personalities
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