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The sum of the interior angles of a triangle is 180 deg.

For a convex polygon with n sides we can divide it to n-2 triangles.

So the answer, if the polygon is convex, is (13-2)*180= 1980 deg

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The polygon need not be convex. The formula for the sum of the interior angles is valid as long as the polygon is simple - that it, its sides do not cross each other inside the polygon.

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Q: What is the sum of the interior angle of a 13-sided polygon?
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