## How do you find the interior and exterior angles of a polygon?

## How do you find the interior and exterior angles of a polygon?

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

### What is the sum of interior and exterior angles of a polygon?

Exterior Angles The sum of an adjacent interior angle and exterior angle for any polygon is equal to 180 degrees since they form a linear pair. Also, the sum of exterior angles of a polygon is always equal to 360 degrees.

#### Are the interior and exterior angles of a polygon the same?

A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees. As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).

**How do you find the exterior 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 are the exterior angles of a polygon?**

An exterior angle of a polygon is an angle at a vertex of the polygon, outside the polygon, formed by one side and the extension of an adjacent side. Notice that corresponding interior and exterior angles are supplementary (add to 180°).

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

### 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°.

#### What is an exterior angle in a triangle?

An exterior angle of a triangle is created by extending one side of the triangle. The angle between the extended side and the side next to it is called an exterior angle. The measure of each exterior angle of a triangle is equal to the sum of the two opposite. interior angles. .

**How many exterior angles does a triangle have?**

6 exterior angles

A triangle has 3 sides, 3 vertices, at these each vertices, we get 2 exterior angles, therefore, 3×2=6 exterior angles.

**How do you find the exterior angle of a triangle?**

Exterior angle = Sum of Interior opposite angles. This formula can be used to find the exterior angle when its remote interior opposite angles are given. The sum of all the exterior angles of a triangle is 360°.

## What is interior angle of a triangle?

60° (for equilateral)Triangle / Internal angle

### What are interior angles of a triangle?

#### What is the external angle of a triangle?

An exterior angle of a triangle is formed when one side of a triangle is extended. The nonstraight angle (the one that is not just the extension of the side) outside the triangle, but adjacent to an interior angle, is an exterior angle of the triangle (Figure 1 ).