Question

question
what is the sum of the interior angles of an 11 - gon?
answer attempt 1 out of 2
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Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon

The formula for the sum of the interior angles of a polygon with \( n \) sides is \( S=(n - 2)\times180^{\circ} \).

Step2: Identify the number of sides \( n \) for an 11 - gon

For an 11 - gon, the number of sides \( n = 11 \).

Step3: Substitute \( n = 11 \) into the formula

Substitute \( n=11 \) into \( S=(n - 2)\times180^{\circ} \), we get \( S=(11 - 2)\times180^{\circ} \).

Step4: Calculate the value

First, calculate \( 11-2 = 9 \). Then, multiply \( 9\times180^{\circ}=1620^{\circ} \).

Answer:

\( 1620 \)