The question can be answered only if the 20-gon is regular - ie all its angles are the same. IF that is the case, then: The sum of the exterior angles of any polygon is 360 degrees. Since there are 20 exterior angles, each of them must be 360/20 = 18 degrees.
A regular 18 sided polygon has 18 exterior angles each measuring 20 degrees
The interior angles of an n-sided polygon add to (n-2)*180 degrees. So the interior angles of a 20-gon add to 18*180 = 3240 degrees. The 20-gon is regular so each angle is a 20th of this ie 3240/20 = 162 deg.
There is a corresponding side to every angle. 20... A polygon has as many sides as it does angles.
A twenty-sided polygon is called an "icosagon" If it is a regular icosagon - all its sides and angles are equal - then it's interior angles are all 162 degrees. You can verify this by drawing a line to the centre from each angle.. There will be 20 small angles arranged in a circle around the centre. These must total 360 degrees. As 360 / 20 = 18, this leaves the other angles of each triangle to add up to 162, because the interior angles of a triangle total 180 degrees.
The interior angles of a 20 sided polygon add up to 3240 degrees
The interior angles of a 20 sided polygon add up to 3240 degrees
The interior angles of an x-sided polygon would be: (x - 2) * 180. (20 - 2) * 180 = 3,240
3240o
If the 20-sided polygon is a regular polygon, then:The sum of all 20 angles = (20 - 2)180⁰ = 18(180⁰) = 3240⁰Each angle measure = 3240⁰/20 = 162⁰
The sum of the interior angles in a n-sided polygon is (n-2) x 180o. For a 20 sided polygon: sum_interior_angles = (20 - 2) x 180o = 18 x 180o = 3240o.
3240o. The sum of the interior angles of a n sided polygon is sum = (n - 2) x 180o An icosagon has 20 sides, thus the sum of its interior angles is: sum = (20 - 2) x 180o = 3240o
3600 Degrees
To find the sum of interior angles for any N-sided polygon = N*180° - 360°Solve the equation: N*180° - 360° = 3240°, for N, and N = 20, so a 20 sided polygon will have sum of interior angles = 3240°, and if it is a regular polygon, then each angle = 162°
The interior angles add up to 3240 degrees
The name of a 20 sided polygon is Icosagon.
An icosagon is a 20 sided polygon and its interior angles add up to 3240 degrees