Question

what is the sum of the measures of the interior angles of a nonagon? enter your answer in the box. °

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 nonagon

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

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

Substitute \( n=9 \) into \( S=(n - 2)\times180^{\circ} \):
\( S=(9 - 2)\times180^{\circ} \)
\( S = 7\times180^{\circ} \)
\( S=1260^{\circ} \)

Answer:

\( 1260 \)