Flashcard 19 - Mathematics: Geometric and Spatial Reasoning Flashcard Set for the TSIA2

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\(\frac{(n-2) \times 180}{n}\) (where \(n\) is the number of sides of a polygon)


Explanation:

A polygon is a two-dimensional closed shape with straight sides. The sum of the interior angles (angles inside the polygon) of a polygon is dependent on the number of sides it has. It is found by using the formula \((n-2) \times 180\), where \(n\) is the number of sides of the polygon.

To find the measure of each of these interior angles, we divide the sum formula by the number of angles, or, the number of sides. Thus, the formula to find the measure of each interior angle is \(\frac{(n-2) \times 180}{n}\).

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