Question

use triangles to find the sum of the interior angle measures of the polygon. the sum of the interior measures of the polygon is (square^{circ}).

Explanation:

Step1: Determine the number of sides of the polygon

The polygon in the image is a non - agon (9 - sided polygon). So \(n = 9\).

Step2: Use the formula for the sum of interior angles of a polygon

The formula for the sum of interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\).
Substitute \(n = 9\) into the formula: \(S=(9 - 2)\times180^{\circ}\).
First, calculate \(9-2=7\).
Then, \(S = 7\times180^{\circ}=1260^{\circ}\).

Answer:

\(1260\)