Question

find the sum of the angle measures of a 17 - sided polygon.
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 an \( n \)-sided polygon is \( S=(n - 2)\times180^{\circ} \), where \( n \) is the number of sides.

Step2: Substitute \( n = 17 \) into the formula

Here, \( n=17 \), so we substitute \( n \) into the formula: \( S=(17 - 2)\times180^{\circ} \).
First, calculate \( 17-2 = 15 \).
Then, calculate \( 15\times180^{\circ}=2700^{\circ} \).

Answer:

2700