Question

find the sum of the interior angle measures of the polygon. the sum of the interior measures of the polygon is 1260°

Explanation:

Step1: Recall the formula for the sum of interior angles

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

Step2: Determine the number of sides of the polygon

The given polygon is a non - agon (9 - sided polygon), so \(n = 9\).

Step3: Calculate the sum of interior angles

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

Answer:

\(1260^{\circ}\)