Use the image to answer the question.

An illustration of a hendecagon with the vertices labeled upper A, upper B, upper C, upper D, upper E, upper F, upper G, upper H, upper I, upper J, and upper K clockwise from the top.

Find the sum of the interior angles of a hendecagon (11-sided polygon).

1 answer

To find the sum of the interior angles of a hendecagon, we can use the formula:

Sum of interior angles = (n - 2) * 180 degrees

Where n is the number of sides of the polygon.

In this case, n = 11. Plugging this into the formula, we get:

Sum of interior angles = (11 - 2) * 180 degrees
= 9 * 180 degrees
= 1620 degrees

Therefore, the sum of the interior angles of a hendecagon is 1620 degrees.
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