The sum of the exterior angles of any polygon, including a 27 sided one, is 360 degrees.
Providing that it's a regular 27 sided polygon then the interior angles add up to 4500 degrees and each interior measures 166o40'0''
The measure of a single internal angle of any regular polygon is equal to 180 (n - 2) / n. Therefore, an internal angle of a regular icosikaiheptagon (27-sided polygon) is equal to 13.3 recurring, or 13 and one third, degrees. It thereby follows that a measure of the external angle of the same polygon is equal to 180 - 13 and one third = 166.6 recurring, or 166 and two thirds, degrees.
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 27, so the sum of the interior angles is (27-2)*180 = 25*180 = 4500 degrees.
icoakaihepyagon
The sum of the exterior angles of any polygon, including a 27 sided one, is 360 degrees.
360 degrees
4500 degrees
27-agon
Providing that it's a regular 27 sided polygon then the interior angles add up to 4500 degrees and each interior measures 166o40'0''
A 27-sided polygon would be called an icosiheptagon.
it is called icosikaiheptagon
4500 dgrees
For an n-sided polygon, the number of diagonals is 1+2+3+....+(n-4)+2(n-3). For a nine-sided polygon, there are 1+2+3+4+5+2(6)=27 diagonals.
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon. So: 0.5*(81-27) = 27 diagonals
A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.
The measure of a single internal angle of any regular polygon is equal to 180 (n - 2) / n. Therefore, an internal angle of a regular icosikaiheptagon (27-sided polygon) is equal to 13.3 recurring, or 13 and one third, degrees. It thereby follows that a measure of the external angle of the same polygon is equal to 180 - 13 and one third = 166.6 recurring, or 166 and two thirds, degrees.