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

## 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°

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:

1. the sum of the interior angles of a polygon is.
2. where n is the number of sides of the polygon.
3. here n=15.
4. sum =180∘×13=2340∘
5. 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.