#### How to find interior angle of polygon

## 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 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 interior angle of a 24 sided polygon?

3960 degrees

## How many interior angles does a polygon have?

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 }.

## How do you find the interior angle of a polygon with 5 sides?

Here’s a pentagon, a 5 – sided polygon . From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.

## What is the measure of one interior angle in the 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.

## What is the measure of interior angles of a regular 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 .

## How do you find the measure of an angle?

The best way to measure an angle is to use a protractor. To do this, you’ll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle’s measurement to the nearest degree.

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

8640 degrees

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

3240 degrees

## What is a 100 sided shape?

hectogon