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use triangles to find the sum of the interior angle measures of the pol…

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: Divide the polygon into triangles

The given polygon can be divided into 3 triangles.

Step2: Calculate the sum of interior angles

The sum of interior angles of a triangle is \(180^{\circ}\). If a polygon is divided into \(n\) triangles, the sum of its interior angles is \(180^{\circ}\times n\). Here \(n = 3\), so the sum is \(180^{\circ}\times3\).

Answer:

\(540^{\circ}\)