#### How to find the interior angle of a regular polygon

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

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle , we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

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

3960 degrees

## What is the measure of each interior angle of a regular polygon?

The General Rule

If it is a Regular Polygon (all sides are equal, all angles are equal) | ||

Shape | Sides | Each Angle |
---|---|---|

Triangle | 3 | 60° |

Quadrilateral | 4 | 90° |

Pentagon | 5 | 108° |

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

(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR). Here “n” represents the number of sides of the polygon .

## Can it be an interior angle of a regular polygon Why?

Solution: Triangle is the polygon with minimum number of sides and an equilateral triangle is a regular polygon because all sides are equal in this. We know that each angle of an equilateral triangle measures 60 degree. Hence, 60 degree is the minimum possible value for internal angle of a regular polygon .

## What is the formula to find the angle?

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.

## 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 is a 25 sided polygon called?

pentacosagon

## What is the formula for a regular polygon?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem : A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem .

## Do regular polygons have equal angles?

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.

## What is the maximum interior angle possible for a regular polygon?

120 degree

## What is the sum of interior angles in a 11 sided polygon?

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above) And there are eleven angles So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees .

## What is the sum of the interior angle of a 20 sided polygon?

When you divide a polygon into triangles, the number of triangles is always 2 less than the number of sides . This means that all of the interior angles of any 20 – sided polygon add up to 3240°.

## What is the sum of the interior angles of a 19 sided polygon?

Regular Polygons

Sides | Name | Interior Angles |
---|---|---|

18 | Octdecagon | 160.00° |

19 | Enneadecagon | 161.05° |

20 | Icosagon | 162.00° |

30 | Triacontagon | 168.00° |