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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.
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What is the sum of the angle measures of a 14 sided polygon?
The sum of the interior angles of a 14 sided polygon are 2160 degrees.
What is the sum of the interior angles of a 7 sided polygon?
the interior angle of a 7 sided regular polygon is 128.57 degrees
What is the sum of the interior angle measures of a 20-sided polygon?
3240
What is the sum of angles in a 5-sided polygon?
The sum is 540 degrees, each angle being 108 degrees.In general, in an n-sided polygon, the sum of the angles is 180 (n-2).
What is the angle sum for a 5 sided polygon?
540 degree for the interior angles
