Question

question
what is the sum of the interior angles of a decagon?

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: Determine the number of sides of a decagon

A decagon has \( n = 10 \) sides.

Step3: Substitute \( n = 10 \) into the formula

Substitute \( n = 10 \) into \( S=(n - 2)\times180^{\circ} \), we get \( S=(10 - 2)\times180^{\circ} \).
First, calculate \( 10-2 = 8 \).
Then, calculate \( 8\times180^{\circ}=1440^{\circ} \).

Answer:

\( 1440 \)