2160 degrees
It will have 14 sides and each interior angle will measure 2160/14 degrees
To find the number of sides in a polygon given the sum of its interior angles, you can use the formula ( S = 180(n - 2) ), where ( S ) is the sum of the interior angles and ( n ) is the number of sides. Setting ( S = 2160 ) degrees, we have: [ 2160 = 180(n - 2) ] Solving for ( n ) gives: [ n - 2 = \frac{2160}{180} = 12 ] [ n = 12 + 2 = 14 ] Thus, the polygon has 14 sides.
The 14 interior angles add up to 2160 degrees
Sum of interior angles = (2n -4) rightangles So we have 2x14 - 4 = 24 right angles = 6 x 360 = 2160 degrees
2160 degrees
It will have 14 sides
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees = 14*180 = 2520 deg
It will have 14 sides and each interior angle will measure 2160/14 degrees
To find the number of sides in a polygon given the sum of its interior angles, you can use the formula ( S = 180(n - 2) ), where ( S ) is the sum of the interior angles and ( n ) is the number of sides. Setting ( S = 2160 ) degrees, we have: [ 2160 = 180(n - 2) ] Solving for ( n ) gives: [ n - 2 = \frac{2160}{180} = 12 ] [ n = 12 + 2 = 14 ] Thus, the polygon has 14 sides.
The 14 interior angles add up to 2160 degrees
If the polygon has n sides (whether it is regular or not), the sum of the interior angles is 180*(n - 2) So 180*(n - 2) = 2520 So (n - 2) = 2520/180 = 14 So that n = 16 sides.
The sum of the interior angles of a 14 sided polygon are 2160 degrees.
Sum of interior angles = (2n -4) rightangles So we have 2x14 - 4 = 24 right angles = 6 x 360 = 2160 degrees
2160 degrees
The interior angles of a polygon with n sides add to (n-2)*180 degrees So, if n= 16, the sum of the interior angles is 14*180 = 2520 degrees.
14 sides in the polygon
The 14 interior angles add up to 2160 degrees