40 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
Exterior angle = 360*9 = 40 degrees. So interior angle = 180 - 40 = 140 deg
180-interior angle = exterior angle 360/exterior angle = number of sides
Interior angle = 140 degrees so exterior angle = 180 - 140 = 40 degrees. Sum of exterior angles = 360 degrees so number of angles = 360/40 = 9 sides.
40 sides
40 sides
It will have 40 sides
If it's a regular polygon then it will have 40 sides
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
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
Exterior angle = 360*9 = 40 degrees. So interior angle = 180 - 40 = 140 deg
Each interior angle: 140 degrees Each exterior angle: 40 degrees
It has 40 sides 180-171=9 360/9=40
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.
40 sides
If each interior angle is 140, each exterior angle is 180 - 140 = 40. Exterior angles add up to 360, so the number of sides is 360 / ext angle = 360 / 40 = 9.