## How many sides are in pentadecagon?

Table of Contents

15

The word Pentagon is derived from a Greek word, pente, meaning five sides or a five-sided polygon….List of other polygons.

Polygon | Number of Sides |
---|---|

Tridecagon | 13 |

Tetradecagon | 14 |

Pentadecagon | 15 |

Hexadecagon | 16 |

### What is the formula for sum of interior angles?

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

**What is the sum of the exterior angles of a pentadecagon?**

For a pentadecagon (15 sides) each angles is 360°/15.

**What is the sum of the interior angles of a regular pentadecagon which has 15 sides )?**

2340 degrees

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees.

## How many diagonal does a pentadecagon have?

The diagonals of a dodecagon are 54, of a pentadecagon are 90, of an icosagon are 170, and of a hectagon are 4850.

### How many triangles are there in pentadecagon?

How many triangles are there in Pentadecagon?

3 | triangle, trigon |
---|---|

15 | pentadecagon |

16 | hexadecagon |

17 | heptadecagon |

18 | octadecagon |

**How many triangles are in a pentadecagon?**

There are 35 triangles that can be found inside a regular pentagon. If you draw a regular pentagon, it means that all sides and all angles are the same measure.

**What is the sum of the measures of the interior angles of a 27 gon *?**

the sum of the measures of the interior angles of a 27 – gon is 180°. (answer.)

## What is the sum of all interior angles of a regular hexagon?

720°

Sum of Interior Angles of a Polygon

Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
---|---|---|

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

### What is the sum of the exterior angles of a Nonagon?

360

The sum of the measures of the exterior angles is 360. A convex regular nonagon has 9 congruent exterior angles. 9n = 360 n = measure of each exterior angle n = 40 Divide each side by 9. The measure of each exterior angle is 40.

**What is the sum of the interior angles of a regular icosagon?**

3240 degrees

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.