Interior angle of a polygon
The interior angle of a polygon is the angle formed by two consecutive sides of the polygon on the inside of the shape
The interior angle of a polygon is the angle formed by two consecutive sides of the polygon on the inside of the shape. In simple terms, it is the angle that you would measure if you were standing inside the polygon and looking outwards towards two adjacent sides.
To determine the measure of the interior angle of a polygon, you 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. By substituting n = 6 into the formula, we can calculate:
Interior angle = (6 – 2) * 180 / 6
Interior angle = (4) * 180 / 6
Interior angle = 720 / 6
Interior angle = 120 degrees
Therefore, each interior angle of a regular hexagon measures 120 degrees.
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