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.
sum interior angles = (number of sides - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 5040° ÷ 180° + 2 = 30
180x28 is the sum of the interior angles in a 30- gon
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
it has 19 sides (:
30 sides
A 30 sided polygon
The smallest regular polygon, an equilateral triangle, has interior angles of 60. A square has interior angles of 90. There can't exist a regular polygon with interior angles of 30.
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.
No such regular polygon exist so it has to be some kind of irregular polygon but if each exterior angle was 30 degrees then it would be a regular 12 sided polygon
The sum of all 30 interior angles would equal 5040*.
168
The total of the interior angles equal 5040, and each angle measures 168 degrees The total of the exterior angles equal 360, and each angle measures 12 degrees
An interior angle of a 30-sided polygon can have any value between 0 and 360 degrees : with the possible exception of 180 degrees - which would make it a 29 sided polygon!
Not possible in this Universe. Smallest regular polygon is a triangle when interior angles are 60o. If exterior angles are 30o the polygon has 360/30 ie 12 sides.
The formula for determining the measurement of the interior angle of a general polygon with n sides is: 180°(n - 2)/n Given the 6-sided polygon, let n = 6. Then, by using the form above, we obtain: 180°(6 - 2)/6 = 30° * 4 = 120° Therefore, 120° is the measurement of the interior angle of a 6-sided regular polygon.
S of interior angles of ANY n-sided polygon is (2n -4) right angles, so 2 x 30 - 4 = 56, 56 x 90 = 5040 degrees