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
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
A regular polygon that has 180 degrees is an equilateral triangle.
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 regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.A regular polygon cannot have an internal angle of 10 degrees and any irregular polygon can.
It depends on what type of regular polygon. For example: regular triangle, regular pentagon, etc.
It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.
Obtuse
The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================
It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.
That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.
A 13 sided regular polygon
possible