The interior angles of a 30-gon add up to 5040 degrees
5040
Each interior angle can have any value in the range (0, 360) degrees - excluding 180 degrees. The only restriction is that the interior angles sum to 5040 degrees.
The sum of the exterior angles of any polygon is 360 degrees. So for a regular dodecagon (12-gon), each exterior angle is 360/12 = 30 degrees. And so, each interior angle is 180 - 30 = 150 degrees.
30 degrees
180x28 is the sum of the interior angles in a 30- gon
The interior angles of a 30-gon add up to 5040 degrees
5040
The sum of the interior angles of a 30-gon is (30-2)*180 = 5040 degrees. So each interior angle of a 30-gon is 5040/30 = 168 degrees.
Each interior angle can have any value in the range (0, 360) degrees - excluding 180 degrees. The only restriction is that the interior angles sum to 5040 degrees.
The sum of all 30 interior angles would equal 5040*.
sum interior angles = (number of sides - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 5040° ÷ 180° + 2 = 30
Sum of internal angles = (2n - 4)right angles, where n is the number of side and a right angle is 90 degrees. So we have here (30 - 4) x 90 degrees which is equal to 26 x 90 = 2340 degrees
The sum of the exterior angles of any polygon is 360 degrees. So for a regular dodecagon (12-gon), each exterior angle is 360/12 = 30 degrees. And so, each interior angle is 180 - 30 = 150 degrees.
To find an exterior angle of a regular 12-gon, use the formula to find the total sum of all the angles first: total sum of all angles = (n-2)*180where 'n' is the number of sides, or 12.By solving, you will find that the total sum of all angles is 1800 degrees, so since it is a regular polygon, you can divide by 12 to find the measure of each interior angle, which is 150 degrees.Once you know the measure of the interior angles, since an exterior angle is the supplement of an interior angle, subtract 150 degrees from 180 degrees (the measure of a straight line) to find the exterior angles, which will be 30 degrees.
It has 30 sides
28 plausibly. There are an infinite number of possibilities. If we assume all angles are equal, it narrows the field. * * * * * Wrong answer. The interior angles of a 30 sided polygon sum to (30 - 2)*180 = 5040 degrees. And you do not need to assume that the angles are equal. They can even be reflex angles.