regular polygon
A regular polygon is a polygon that has equal side lengths and equal interior angles
A regular polygon is a polygon that has equal side lengths and equal interior angles. Some examples of regular polygons are equilateral triangles, squares, pentagons, hexagons, and so on.
To determine the interior angle of a regular polygon, we can use the formula:
Interior angle = (n-2) * 180 / n
Where n represents the number of sides of the polygon.
For example, let’s consider a regular hexagon, which has six sides. Using the formula, we can calculate its interior angle as follows:
Interior angle = (6-2) * 180 / 6
= 4 * 180 / 6
= 720 / 6
= 120 degrees
So, each interior angle of a regular hexagon measures 120 degrees.
Similarly, for a regular pentagon (a polygon with five sides), we can calculate its interior angle:
Interior angle = (5-2) * 180 / 5
= 3 * 180 / 5
= 540 / 5
= 108 degrees
Therefore, each interior angle of a regular pentagon measures 108 degrees.
It’s worth noting that in a regular polygon, the sum of all interior angles is always (n-2) * 180 degrees, where n is the number of sides.
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