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

## How do you find the interior angle of a regular 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.

## How do you find the interior angle?

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.

## What is the interior angle of a polygon?

The interior angles of a polygon are those angles at each vertex that are on the inside of the polygon . There is one per vertex. So for a polygon with N sides, there are N vertices and N interior angles . Notice that for any given number of sides, all the interior angles are the same.

## What is the interior of a polygon?

Interior Angle (of a Polygon ) An interior angle of a polygon is an angle inside a polygon at a vertex of the polygon . Interior angles of a regular polygon are equal in measure. The magnitude of an angle can be determined by the number of sides of the polygon .

## 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 .

## What is the interior angle of a 6 sided polygon?

The General Rule

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

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

## What is an interior angle of a triangle?

60° (for equilateral)

## What is the interior angle of a decagon?

144°

## What is interior angle with example?

Mathwords: Interior Angle . An angle on the interior of a plane figure. Examples : The angles labeled 1, 2, 3, 4, and 5 in the pentagon below are all interior angles . Angles 3, 4, 5, and 6 in the second example below are all interior angles as well (parallel lines cut by a transversal).

## 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 }.

## What is the interior angle of Pentagon?

108°

## What is the formula of 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).

## What is the sum of the interior angles of a 13 sided polygon?

Regular Polygons

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

12 | Dodecagon | 150.00° |

13 | Triskaidecagon | 152.31° |

14 | Tetrakaidecagon | 154.29° |

15 | Pendedecagon | 156.00° |

## What is the interior angle of hexagon?

120°

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

To find the sum of the interior angles, multiply the number of triangles by 180. B) The sum of the interior angles in a polygon is always 360 degrees .