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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
8 hours ago

To find the sum of the interior angles of a hendecagon (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. For a hendecagon, \(n = 11\).

Now, substituting \(n\) into the formula:

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

Calculating this gives:

\[ 9 \times 180 = 1620^\circ \]

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