The sum of the interior angles of a polygon wit n sides is (n-2)*180 degrees.
So (n-2)*180 = 3960
Dividing both sides by 180 gives: (n-2) = 22 so that n = 24.
it has 24 sides.
It will have 24 sides
24
Suppose the polygon has n sides Then sum of interior angles = (n-2)*180 degrees = 3960 degrees so n-2 = 3960/180 = 22 and so n = 24
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
20 sides. The interior angles of a polygon add up to 180(n-2). We solve: 180(n-2) = 3960 n-2 = 22 n-2(+2) = 22(+2) n=24
The interior angles add up to 3960 degrees
Any measure you like. The only constraint is that the sum of all the interior angles - which can all be different - is 3960 degrees.
The sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. For a 24 sided shape this gives (2 x 24) - 4 = 44 right angles = 3960°.
24 sides
The sum of the interior angles of a 24 sided shape is 180*(24 - 2) = 180*22 = 3960 degrees. If all the angles of the shape are equal then each one is 3960/24 = 165 degrees.
It is: (24-2)*180 = 3960 degrees