Triangles Unit Test

Question

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Question
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)
The sum of the interior angles of a hendecagon is

Answer 1

To find the sum of the interior angles of a hendecagon (an 11-sided polygon), you can use the formula:

\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]

where \( n \) is the number of sides in the polygon.

For a hendecagon, \( n = 11 \):

\[ \text{Sum of interior angles} = (11 - 2) \times 180^\circ = 9 \times 180^\circ = 1620^\circ \]

So, the sum of the interior angles of a hendecagon is \( 1620^\circ \).