# What is the exterior angle theorem formula?

## What is the exterior angle theorem formula?

What is the Exterior Angle Theorem Formula? The sum of the exterior angle = the sum of two non-adjacent interior opposite angles. An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

## What are exterior angles of a polygon?

From the wikipedia article: “an exterior angle (or external angle) is an angle formed by one side of a simple, closed polygon and a line extended from an adjacent side.”

What is exterior angle of a polygon?

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

### How do you find exterior angles of a polygon?

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

### What is the sum of the exterior angle of a pentagon?

360°
This means: Sum of exterior angles = 180n – 180(n-2) = 180n – 180n + 360. Hence, the sum of exterior angles of a pentagon equals 360°.

What is an exterior angle of a polygon?

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

## How to calculate the sum of the exterior angles of a polygon?

How to Calculate the Sum of the Exterior Angles of a Polygon Regular Polygons. The angles of a regular polygon are equivalent, and their sides are as well. Irregular Polygons. The sum of the exterior angles of an irregular polygon also equals 360 degrees, even though the angles are not equivalent. Checking the Values of Exterior Angles. Finding the Sides of a Regular Polygon from an Exterior Angle.

## How do you calculate exterior angle of a polygon?

Formula to calculate the interior angles in regular polygon is `((n-2)xx180)/n` . Formula to calculate the exterior angles in regular polygon is `360/n` . If we want to calculate the unknown angle in triangle means we can use sum of interior angle formula as A + B + C = 180.

How do you find the sum of the interior angles of a polygon?

The sum of a pentagon’s interior angles is taken by multiplying 180 by 3, which is equivalent to 540. In general, the formula for obtaining the sum of all interior angles of any polygon is (n-2) multiplied by 180 degrees, where “n” indicates the number of sides.

### What is the interior and exterior angle of a polygon?

The interior angles of a polygon are angles inside the shape. The exterior angles of a polygon are angles outside of the shape formed between any side of the polygon and a line extended from the side next to it.