Question

find the sum of the angle measures of a nonagon.
the sum is \\(\square\\) degrees.

Explanation:

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

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

Step2: Determine the number of sides of a nonagon.

A nonagon has 9 sides, so \( n = 9 \).

Step3: Substitute \( n = 9 \) into the formula.

Substitute \( n = 9 \) into \( S=(n - 2)\times180^{\circ} \), we get \( S=(9 - 2)\times180^{\circ} \).

Step4: Calculate the value.

First, calculate \( 9-2 = 7 \). Then, multiply \( 7\times180^{\circ}=1260^{\circ} \).

Answer:

\( 1260 \)