1260 degrees
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(n-2)*180 = sum of interior angles of any polygon where n = number of sides. (9-2)*180 = 1260 degrees.
It is a regular 9 sided polygon whose 9 interior angles add up to 1260 degrees
9099 * * * * * The sum of the interior angles is (9 - 2)*180 = 1260 degrees.
A nonagon which has 9 sides
The formula for finding the sum of the interior angles of a polygon is: 180 x (n - 2) where n = the number of sides. This comes from knowing the following: Given a polygon of n sides, there are n - 2 triangles you can form by connecting a given vertice (point where two sides meet) to all other vertices of the polygon. The 180 in the formula is the sum of the angles in a triangle. Therefore, the sum of the interior angles (or, as you put it, the angle sum) of your 11 sided figure would be: 180 x (11 - 2) = 180 x (9) = 1620 degrees. Hope that answers your question and gets you on your way to figuring out other geometry problems.