What polygon has 15 diagonals?

What polygon has 15 diagonals?

A triangle has no diagonals. A quadrilateral has 2 diagonals. A pentagon has 5 diagonals. How many diagonals would be in a 15 sided polygon?…

3 sided: 3 x 0 = 0
5 sided: 5 x 1 = 5
7 sided: 7 x 2 = 14
9 sided: 9 x 3 = 27
11 sided: 11 x 4 = 44

What is 16 sided polygon called?

hexakaidecagon
In geometry, a polygon or a geometrical shape with 16 sides is called a hexakaidecagon or hexadecagon. This is also known as 16-gon. The measure of each internal angle of a regular hexadecagon is 157.5 degrees.

How many triangles are in a 15 sided polygon?

13 triangles
If we draw line segments from one vertex to all the non-adjacent vertices, we can subdivide the 15-gon into 13 triangles. 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 degrees does a 15 sided polygon have?

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

How many triangles are there in a 15 sided polygon?

What is the interior angle of a 15 sided polygon?

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 17 sided polygon called?

heptadecagon
In geometry, a heptadecagon, septadecagon or 17-gon is a seventeen-sided polygon.

What is a 18 sided polygon called?

Octadecagon
An 18-sided polygon, sometimes also called an octakaidecagon.

What is the angle sum of a 15 sided polygon?

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. Since the 15-gon is regular, this total is shared equally among the 15 interior angles.

How much is each angle of a 15 sides regular polygon?

24°
The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.

What is the sum of a 15 sided polygon?

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. Since the 15-gon is regular, this total is shared equally among the 15 interior angles.

What is a 19 sided shape?

A enneadecagon is a polygon with 19 sides, and the sum of its interior angles is 3060 degrees.

What is the Exterior angle of 15 sided polygon?

24
Exterior angle=24 for polygon of 15 sides.