#### How to find interior angles of regular polygons

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

To find the sum of interior angles of a polygon , multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

## How do you work out the interior angles of a 24 sided polygon?

To find the measure of an interior angle of a regular polygon , take the sum of all interior angles and divide by the number of angles . The sum of all interior angles can be found by (n – 2)*180 where n is the number of sides , in this case 24 . So all the interior angles add to 3960 degrees.

## How do you find the interior angle of an irregular polygon?

How do I find the sum of the interior angles of an irregular polygon ? The formula for finding the sum of the interior angles of a polygon is the same, whether the polygon is regular or irregular . So you would use the formula (n-2) x 180, where n is the number of sides in the polygon .

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

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex , the sum of the measures of the exterior angles of a polygon is always 360°.

## What is the interior angle of a 25 sided polygon?

8640 degrees

## What is the measure of an interior angle of a 16 Gon?

Each angle of a regular hexadecagon is 157.5 degrees , and the total angle measure of any hexadecagon is 2520 degrees .

## What’s the interior angle of a regular 24 sided polygon?

3960 degrees

## What is the interior angle of a irregular pentagon?

The General Rule

Shape | Sides | Sum of Interior Angles |
---|---|---|

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

## What is the interior angle of a 7 sided polygon?

A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/ 7 radians (128^{4}⁄ _{7} degrees). Its Schläfli symbol is { 7 }.

## Does the length of a side of a regular polygon affect the sum of the interior angles?

Does the length of a side of a regular polygon affect the sum of the interior angle measures ? Therefore, the angle sum is dependent only on the number of sides n, not the length of the sides . For example, for a pentagon the angle sum is 3(180) = 540 degrees.

## What is the sum of interior angles of a Heptagon?

900°

## How many interior angles does a decagon have?

ten angles