Interior Angles Of Polygons: Calculation And Classification

interior angles

the angles formed by each pair of adjacent sides on the inside of a polygon

Interior angles are the angles that exist inside a closed shape. They are the angles between two adjacent sides of the shape. For example, in a triangle, the interior angles are the angles between the three sides of the triangle.

The sum of the interior angles of any polygon is given by the formula: (n-2) * 180, where n is the number of sides of the polygon. This formula can be used to calculate the sum of the interior angles of any regular or irregular polygon.

In a regular polygon, all interior angles have the same measure. For example, in a regular pentagon, all interior angles measure 108 degrees. Similarly, in a regular hexagon, all interior angles measure 120 degrees.

The interior angles of a polygon can be classified as either acute, right, or obtuse. An acute angle measures less than 90 degrees, a right angle measures exactly 90 degrees, and an obtuse angle measures greater than 90 degrees.

It is important to understand the concept of interior angles when working with geometry problems that involve polygons.

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