To find the number of sides ( n ) in a polygon given the sum of its interior angles, you can use the formula ( S = (n - 2) \times 180 ), where ( S ) is the sum of the interior angles. Setting ( S = 1620 ), we get:
[ 1620 = (n - 2) \times 180 ]
Solving for ( n ):
[ n - 2 = \frac{1620}{180} = 9 \ n = 11 ]
Thus, the polygon has 11 sides.
If you mean that all the interior angles add up to 1620 degrees then it will have 11 sides.
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.
The interior angles of an 11 sided polygon add up to 1620 degrees
The sum of interior angles equals: (number of sides - 2)*180that makes: (11-2)*180 = 1620
It is an 11 sided polygon whose interior angles add up to 1620 degrees
An 11 sided polygon has interior angles that add up to 1620 degrees
It will have 11 sides
If you mean that all the interior angles add up to 1620 degrees then it will have 11 sides.
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
The answer is 11 sides If a polygon with 10 sides the sum of the interior angles are 1440° So 1440°+180°= 1620°
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 1620 degrees
The sum of the interior angles is, and here's a wild guess, 1620!
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.
The interior angles of an 11 sided polygon add up to 1620 degrees
The sum of interior angles equals: (number of sides - 2)*180that makes: (11-2)*180 = 1620
1620 degrees