Question

Find the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.

Answer 1

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°.

Learn more about Polygon:

brainly.com/question/10441863

#SPJ1