If it has n sides, then (n - 2)*180 = 9360 so that n - 2 = 9360/180 = 52 and so n = 52 + 2 = 54 sides.
The sum of all four interior angles in a quadrilateral must be 360, so the answer would be: 360 - 54 - 25 - 99 = 182
12*(12-3)/2 = 54
Providing that it's a regular 54-gon then each interior angle measures 173 and a 1/3 degrees
ea = 5, 1 over 3 inches
(54-2)*180 = 9360 degrees
In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.
Using standardized polygon names, a 54-sided polygon would be called a pentacontakaitetragon.
54
A twelve sided polygon.
The name of a 51 sided polygon is Pentaconhenagon. The name of a 52 sided polygon is Pentacondigon. The name of a 53 sided polygon is Pentacontrigon. The name of a 54 sided polygon is Pentacontetragon. The name of a 55 sided polygon is Pentaconpentagon. The name of a 56 sided polygon is Pentaconheptagon. The name of a 57 sided polygon is Pentaconhexagon. The name of a 58 sided polygon is Pentaconoctagon. The name of a 59 sided polygon is Pentaconenneagon.
Total internal angle is (2n -4)right angles, here it would be (2x30 - 4)right angles which results in (54 x 90) degrees = 4860 degrees. If the polygon has equal angles then each would be 162 degrees.
If you rotate a 20-sided regular polygon by 360/20 degrees, the result will look the same as the original polygon. Any additional rotation will be a multiple of this number.
The "proper" name is pentacontakaitetragon. Most people, including mathematicians, will use 54-gon since that effectively communicates the size of the polygon. But, if you want to appear pretentious or be obfuscatory, by all means use the Greek prefices.
If it has n sides, then (n - 2)*180 = 9360 so that n - 2 = 9360/180 = 52 and so n = 52 + 2 = 54 sides.
A 54-sided shape is called a pentacontakaitetragon. The prefix "pentaconta-" denotes fifty, while the suffix "-kaitetragon" indicates a polygon with 54 sides. This term is derived from Greek roots and follows the naming convention for polygons based on their number of sides.
The formula for the number of diagonals that an N-sided polygon has is# diagonals = N(N-3)/2N(N-3)/29(N-3)/29*(9-3)/29*6/2 = 54/227