120 sides
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees
A regular polygon with interior angles of 144 degrees has 10 sides. Using the fact that a regular n-gon has interior angles of degree (n-2)*180/n, you can solve for the number of sides fairly easily.
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
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No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
To find the number of sides in a regular polygon with a given interior angle, you can use the formula: ( n = \frac{360}{180 - \text{angle}} ). For a polygon with a 72-degree interior angle, this would be ( n = \frac{360}{180 - 72} = \frac{360}{108} ), which simplifies to ( n = \frac{360}{108} = \frac{10}{3} ), approximately 3.33. Since the number of sides must be a whole number, a polygon cannot have an interior angle of 72 degrees, indicating that the angle pertains to a different context in polygon geometry.
A polygon has two types of measurements: side lengths and interior angles. The number of side lengths is equal to the number of sides the polygon has, while the number of interior angles is always equal to the number of sides. So, a polygon has two measurements: side lengths and interior angles.
It is used in the formula for finding the sum of the interior angles of a polygon:- (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
(number of sides-2)*180 = sum of interior angles of a polygon
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.
the formula for the total number of degrees in a polygon is (x=number of sides) (x-2)180=total degree measure and you divide that number by x to get each angle measure of a regular polygon. so ((x-2)180)/x=30 solve for x and you get x=2.4 you can't have 2.4 sides in a polygon. so no, a regular polygon can't have an interior angle of 30 degrees