# If the sum of the interior angles of a polygon is 720°, what type of polygon is it?

##### 1 Answer

Please read the explanation.

#### Explanation:

**Given:**

**Sum of the interior angles of a polygon is: **

The relationship between the number of sides of a polygon and the sum of interior angles is

where **number of sides of the polygon**.

Hence, we have

Divide both sides of the equation by

Add

**Hence, the required polygon must have 6 sides.**

A **Hexagon is a six-sided polygon.**

Hence, the type of polygon required is a **Hexagon**.

If you are interested, you can find an image of a **regular hexagon** below:

Hope it helps.