The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
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