What is the sum of interior angles of a 22-gon?
(1 point)
Responses
3960°
3960°
3600°
3600°
3780°
3780°
3420°
3420°
The sum of the interior angles of a polygon can be found using the formula (n-2) * 180, where n is the number of sides of the polygon.
Therefore, for a 22-gon, the sum of the interior angles would be (22-2) * 180 = 20 * 180 = 3600°.
So the correct answer is 3600°.
Saying why again
an exterior angle is 180 + 360 / n
so an interior angle is 360 - (180 +360/n) = 180 - 360/n
sum of interiors = n (180-360/n) = 180 n - 360 = 180 ( n - 2)
I apologize for the confusion. You are correct. The sum of the interior angles of a polygon is given by the formula (n-2) * 180, where n is the number of sides of the polygon.
For a 22-gon, the sum of the interior angles would be (22-2) * 180 = 20 * 180 = 3600°.
Therefore, the correct answer is indeed 3600°.
To find the sum of the interior angles of a polygon, you can use the formula: (n-2) * 180 degrees, where n represents the number of sides of the polygon.
In this case, you have a 22-gon, so plug in the value of n into the formula:
(22-2) * 180 = 20 * 180 = 3600 degrees
Therefore, the sum of the interior angles of a 22-gon is 3600 degrees.