**Understanding Exterior and Interior Angles in Polygons: A Calculator and Formula Guide**

Polygons are fundamental shapes in geometry, and understanding their exterior and interior angles is crucial for various mathematical and architectural applications. In this article, we’ll delve into the world of polygons, explore their exterior and interior angles, and provide you with a handy calculator to make these calculations a breeze.

**Exploring Exterior and Interior Angles**

Before we dive into the formula and calculator, let’s understand the basics of exterior and interior angles in polygons.

**Exterior Angle:**An exterior angle of a polygon is the angle formed by one side of the polygon and the extension of an adjacent side in the outward direction. In simple terms, it’s the angle that you would measure if you walked around the polygon.**Interior Angle:**An interior angle of a polygon is the angle formed inside the polygon between two adjacent sides. These are the angles you would measure if you were inside the polygon.

Now that we have a clear understanding, let’s move on to the formulas and calculations.

**The Formula: A=(n−2)∗180**

The sum of the interior angles of a polygon can be calculated using the formula A = (n – 2) * 180, where:

- A represents the sum of the interior angles.
- n represents the number of sides in the polygon.

This formula is applicable to all polygons, whether they are triangles, quadrilaterals, pentagons, or any other polygon with n sides.