Question

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

Answer 1

Answer:

120°.

Step-by-step 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 $(6 - 2) \times 180^{\circ} = 720^{\circ}$.

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

$\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}$.