# What is the sum of the interior angles of a 15 sided polygon?

Table of Contents

## What is the sum of the interior angles of a 15 sided polygon?

A pentadecagon is a polygon with 15 sides, and the sum of its interior angles is 2340 degrees.

**What is the sum of all interior angles of a regular 15-gon?**

Since the polygon is regular, all sides and angles are equal, so each turn at each vertex is the same, and of size 360°15=24° degrees.

**What is the measure of the interior angles of a 15-gon?**

156°

Pentadecagon

Regular pentadecagon | |
---|---|

Coxeter–Dynkin diagrams | |

Symmetry group | Dihedral (D15), order 2×15 |

Internal angle (degrees) | 156° |

Properties | Convex, cyclic, equilateral, isogonal, isotoxal |

### What is the sum of the measures of the interior angles of a 15 sided polygon apex?

All interior angles add up to (n-2)180 degrees. Therefore all the interior angles of your 15 sided regular polygon add up to 15-2 = 13180 degrees = 2340 degrees.

**How much is each angles of a 15 sided at regular polygon How much is each outside angles?**

Exterior angle=24 for polygon of 15 sides.

**How do you find the interior angle of a regular 15 sided polygon?**

Explanation:

- the sum of the interior angles of a polygon is.
- where n is the number of sides of the polygon.
- here n=15.
- sum =180∘×13=2340∘
- one interior angle =2340∘15=156∘

## How do you determine the measure of each interior and exterior angle of a 15-Gon?

What is the size of an interior angle on a regular 15 sided shape? Or, Interior angle and exterior angle add to 180 degrees, so, each exterior angle is 360 degrees divided by 15 = 24 degrees. 180 degrees – 24 degrees = 156 degrees.

**What is the sum of the exterior angle measures of a 15-Gon?**

360∘

What is the sum of the exterior angles in a regular 15-gon? The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.

**What is the sum of the measures of the exterior angles of a 15 sided figure?**

### What is the exterior angle of a 15 sided polygon?

24

Exterior angle=24 for polygon of 15 sides.

**What is the measure of each interior and exterior angle of a regular polygon of 15 sides?**

So each internal angle is 156°. Internal and external angle are always supplementary. So sum of the internal and external angle is 180°. So external angle = 180° – 156° = 24°.

**What is the measure of each exterior angle of a regular polygon of 15 sides A 30 B 45 C 60 D 24?**

So, Option (a) 30° is correct.