If you name the degree of the angle d, then the exterior angle is 180 - d. The exterior angles have to add up to 360, a full circle to get back to where you started. So if there are nsides and n angles,
n(180-d) = 360
Solving for d, you get
180 n - nd = 360
-nd = 360 - 180n
-d = 360/n - 180
and then
d = 180 - 360/n
Chat with our AI personalities
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
no a regular polygon has 360 degrees and it can have 4 or more sides
A 13 sided regular polygon
If this 9 sided polygon is a regular polygon, then the sum of its angles is:(n - 2)180 degrees = (9 - 2)180 degrees = 7 x 180 degrees = 1,260 degrees.
Providing that it is a regular polygon then it is a nonagon which has 9 sides