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 point)

1 answer

The sum of the interior angles of any polygon can be found using the formula:

Sum of interior angles = (n - 2) × 180°

where n is the number of sides of the polygon.

For a hendecagon, which has 11 sides, the sum of the interior angles would be:

Sum of interior angles = (11 - 2) × 180°
Sum of interior angles = 9 × 180°
Sum of interior angles = 1620°

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