Question

Find the interior angle of a regular polygon which has 6 sides​

Answer 1

120°.

Explanation:

The sum of all interior angles in a polygon with
`n` sides (
`n\in \mathbb{Z}`,
`n \ge 3`) is equal to
`(n - 2) \cdot 180^(\circ)`. (Credit: Mathsisfun.)

The polygon here has 6 sides.
`n = 6`. Its interior angles shall add up to
`(6 - 2) * 180^(\circ) = 720^(\circ)`.

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

• All sides in a regular polygon are equal in length.
• All angles in a regular polygon are also equal.

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

`\displaystyle (1)/(6)* 720^(\circ) = 120^(\circ)`.