interior angles
Interior angles are a type of angle formed inside a polygon
Interior angles are a type of angle formed inside a polygon. A polygon is a closed two-dimensional shape with straight sides. Interior angles are formed by any two adjacent sides of the polygon when extended towards the interior of the shape.
To find the measure of an interior angle of a polygon, you can use the formula:
Interior angle measure = (180 * (n – 2)) / n
Where “n” represents the number of sides in the polygon. This formula is applicable for all regular and irregular polygons.
For example, let’s consider a triangle. A triangle has three sides, so the formula would be:
Interior angle measure = (180 * (3 – 2)) / 3 = 60 degrees
Therefore, each angle in a triangle measures 60 degrees.
Similarly, for a quadrilateral (4 sides), the formula would be:
Interior angle measure = (180 * (4 – 2)) / 4 = 90 degrees
In a regular polygon, all interior angles are congruent (i.e., they have the same measure), making it easier to calculate. The interior angle measure of a regular polygon can be found using the formula:
Interior angle measure = 180 * (n – 2) / n
For example, in a regular hexagon (a polygon with six sides), the formula would be:
Interior angle measure = 180 * (6 – 2) / 6 = 120 degrees
Hence, each interior angle in a regular hexagon measures 120 degrees.
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