3960 divided by 180 = 22
22+2=24
3960 divided by 24= 165
The answer is 165 degrees
It is: (24-2)*180 = 3960 degrees
24 sides
The interior angles of a 24-agon add up to 3960 degrees.
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.
-- Measure, calculate, or somehow get the measure of each interior angle. -- Add them all up to get one number which is their sum. -- That one number is the sum of the interior angles.
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.
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
It will have 24 sides
it has 24 sides.
24
It is: (24-2)*180 = 3960 degrees
24 sides
The interior angles of a 24-agon add up to 3960 degrees.
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.
-- Measure, calculate, or somehow get the measure of each interior angle. -- Add them all up to get one number which is their sum. -- That one number is the sum of the interior angles.
Sum of interior angles of ANY n-sided polygon is (2n - 4) right angles. Where n = 24 this becomes 44 x 90 degrees ie 3960 degrees.