To determine the number of sides of a polygon based on its exterior angle, you can use the formula ( n = \frac{360}{\text{exterior angle}} ). For an exterior angle of 1620 degrees, you calculate ( n = \frac{360}{1620} ), which simplifies to ( n = \frac{1}{4.5} ). Since ( n ) must be a whole number, a 1620-degree exterior angle does not correspond to any polygon with a finite number of sides.
If you mean that all the interior angles add up to 1620 degrees then it will have 11 sides.
Since it has 11 sides, the sum of the interior angles is 180 degrees ( 11-2)= 180(9) or 1620 degrees.
Exterior angles: 360 degrees Interior angles: 1620 degrees
Interior angles: 1620 degrees Exterior angles: 360 degrees
The sum of the interior angle measures of a polygon can be calculated using the formula ( S = (n - 2) \times 180 ), where ( n ) is the number of sides. To find the number of sides for which the sum of the interior angles is 1620 degrees, we can set up the equation: ( (n - 2) \times 180 = 1620 ). Solving for ( n ), we get ( n - 2 = 9 ), so ( n = 11 ). Therefore, a polygon with a sum of interior angles measuring 1620 degrees has 11 sides, making it an 11-sided polygon, or hendecagon.
If the interior angles add up to 1620 degrees then it has 11 sides
If its interior angles add up to 1620 degrees then it will have 11 sides
If you mean that all the interior angles add up to 1620 degrees then it will have 11 sides.
Exterior angles add up to 360 degrees Interior angles add up to 1620 degrees
Since it has 11 sides, the sum of the interior angles is 180 degrees ( 11-2)= 180(9) or 1620 degrees.
Exterior angles: 360 degrees Interior angles: 1620 degrees
Interior angles: 1620 degrees Exterior angles: 360 degrees
The sum of the interior angle measures of a polygon can be calculated using the formula ( S = (n - 2) \times 180 ), where ( n ) is the number of sides. To find the number of sides for which the sum of the interior angles is 1620 degrees, we can set up the equation: ( (n - 2) \times 180 = 1620 ). Solving for ( n ), we get ( n - 2 = 9 ), so ( n = 11 ). Therefore, a polygon with a sum of interior angles measuring 1620 degrees has 11 sides, making it an 11-sided polygon, or hendecagon.
An 11 sided polygon has interior angles that add up to 1620 degrees
11
It will have 11 sides
It is an 11 sided polygon whose interior angles add up to 1620 degrees