Angles in Polygon

Define an interior angle of a polygon.

The angle of a polygon is referred to as the space formed at the intersection point (vertex) of two adjacent sides. Now, the interior angle of a polygon is the one that lies inside the polygon. The number of angles in a polygon having “n” sides is “n”. For example, a triangle has three sides, so it has three interior angles. 

What is the formula to determine the sum of the interior angles of a polygon?

The formula to determine the sum of interior angles of a polygon is given as follows:

Sum (S) = (n − 2) × 180°

where “n” is the number of sides or number of angles of polygons.

What is the sum of all interior angles of an octagon?

The sum of interior angles of an octagon is 1080°.

What is the sum of all interior angles of a triangle?

Sum of interior angles of a triangle is 180°.

Define an exterior angle of a polygon.

The angle that lies at the outside of a polygon, which is formed by one side of the polygon and the extension of the other side, is referred to as the exterior angle of a polygon.

Polygon is defined as a two-dimensional geometric figure that has a finite number of line segments connected to form a closed shape. The line segments of a polygon are called edges or sides, and the point of intersection of two edges is called a vertex. The angle of a polygon is referred to as the space formed at the intersection point (vertex) of two adjacent sides.

A polygon is of two types: a regular polygon and an irregular polygon. A regular polygon is a polygon whose all sides and all interior angles are measured the same, whereas an irregular polygon is a polygon whose all sides and all interior angles do not measure the same. And we also have different types of polygons like triangles, quadrilaterals, pentagons, hexagons, etc, based on the number of sides of a polygon. Every polygon has interior angles and exterior angles, where an interior angle is the one that lies inside the polygon and the exterior angle is the one that lies outside the polygon.