1260 degrees
A 9 sided nonagon has interior angles that add up to 1260 degrees
A nonagon which has 9 sides
It is a regular 9 sided polygon whose 9 interior angles add up to 1260 degrees
(2n - 4) x 90 = 1260 where n is the number of sides.ie 180n = 1260 + 360n = 1620/180 = 9Your polygon is a nonagon (or enneagon)
Suppose the polygon has n sides. Then (n - 2)*180 = 1260 So (n - 2) = 1260/180 = 7 and therefore, n = 7 + 2 = 9
9099 * * * * * The sum of the interior angles is (9 - 2)*180 = 1260 degrees.
Sum of interior angles of a polygon = (2n - 4)right angles 1260 = (2n - 4) x 90 1260 = 180n - 360 900 = 180n n = 5, it is a pentagon
A nonagon aka enneagon
(n-2)*180 = sum of interior angles of any polygon where n = number of sides. (9-2)*180 = 1260 degrees.
We solve the equation for n... since the sum of the interior angles is 180(n-2) where n is the number of sides of the polygon. So we have: 180(n-2)=1260 n-2=7 n=9 So 9 sides
The relevant formula for the sum of the interior angles of a convex polygon is (n - 2)(180) degrees, where n is the number of sides. In this instance, 180 n - 360 = 1260, or 180n = 1620, or n = 9.