Exterior angles add up to 360 degrees
Interior angles add up to 1800 degrees
A polygon with 12 sides and 12 angles is called a dodecagon. In a regular dodecagon, all sides and angles are equal, and the sum of its interior angles is 1,440 degrees. Dodecagons can be found in various geometric contexts and are often studied in mathematics and architecture.
The general formula for the sum in degrees of the interior angles of a regular polygon with n sides is 180(n - 2). The name "dodecagon" means a polygon of 12 sides. Therefore, the sum of the angles is 1800 degrees.
12
12 The sum of the exterior angles is 360˚. So we have 360/30 = 12 angles which is also the number of the polygon sides.
The interior angles of a 12 sided polygon add up to 1800 degrees
A polygon with 12 sides and 12 angles is called a dodecagon. In a regular dodecagon, all sides and angles are equal, and the sum of its interior angles is 1,440 degrees. Dodecagons can be found in various geometric contexts and are often studied in mathematics and architecture.
The general formula for the sum in degrees of the interior angles of a regular polygon with n sides is 180(n - 2). The name "dodecagon" means a polygon of 12 sides. Therefore, the sum of the angles is 1800 degrees.
12
Sum of exterior angles = 360 degrees (whatever the number of sides). So, if the polygon has n sides, 360/n = 12 so that n = 360/12 = 30 sides.
The sum of the interior angles of a polygon is 2n - 4 right angles - where n is the number of sides. So, 1080° = 1080/90 = 12 right angles If 2n - 4 = 12 then 2n = 16 : n = 8 The number of sides is 8.
12 The sum of the exterior angles is 360˚. So we have 360/30 = 12 angles which is also the number of the polygon sides.
The interior angles of a 12 sided polygon add up to 1800 degrees
The formula is: (12-2)*180 = 1800 degrees
To find the number of sides ( n ) of a polygon given the sum of its interior angles, you can use the formula ( S = (n - 2) \times 180 ), where ( S ) is the sum of the interior angles. Setting ( S = 1800 ), we have ( 1800 = (n - 2) \times 180 ). Solving for ( n ), we get ( n - 2 = 10 ), so ( n = 12 ). Therefore, the polygon has 12 sides.
A polygon with internal angles of 144 degrees is a dodecagon, which has 12 sides. In this case, each internal angle measures 144 degrees, and the sum of the internal angles for a dodecagon is 1,440 degrees (calculated as (12-2) × 180). This type of polygon can be regular if all sides and angles are equal.
12 sides, 12 angles, 12 vertices
A polygon with a sum of interior angles equal to 1800 degrees has 12 sides, making it a dodecagon. This can be determined using the formula for the sum of interior angles of a polygon, which is ((n - 2) \times 180) degrees, where (n) is the number of sides. Setting this equal to 1800 and solving for (n) yields (n = 12).