How many degrees does a 23 sided polygon have?

How many degrees does a 23 sided polygon have?

A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n – 2)180°, where n is the number of sides.

Can 22 degree be an interior angle of a regular polygon?

Understanding Quadrilaterals If 22° is an interior angle, then 180° – 22°, i.e. 158° is exterior angle. Thus, 22° cannot be an interior angle of a regular polygon.

How many degrees is a 20 sided polygon?

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.

How many degrees are in a 21 sided polygon?

The interior angle of a regular 21-gon is around 162.86∘ .

What is a 22 sided shape called?

icosidigon
In geometry, an icosidigon (or icosikaidigon) or 22-gon is a twenty-two-sided polygon. The sum of any icosidigon’s interior angles is 3600 degrees.

What polygon has 24 sides?

icositetragon
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.

Can a regular polygon have exterior angles of 22 degrees?

No it is not possible to have each exterior angle 22 degrees.

Can 22 be an exterior angle of a regular polygon Why?

Let the number of sides be = n. Thus, we cannot have a regular polygon with an exterior angle of 22° as the number of sides is not a whole number.

What is a 22 sided shape?

In geometry, an icosidigon (or icosikaidigon) or 22-gon is a twenty-two-sided polygon. The sum of any icosidigon’s interior angles is 360 degrees.

How many degrees are there in a polygon?

There are 180 (N – 2) degrees in a polygon if we add up the measures of every interior angle: Sum of Interior Angles of an N-gon = 180 (N – 2) degrees. For example, a polygon with N = 22 sides has 180 (22 – 2) = 180 (20) = 3600 degrees.

What is the sum of interior angles of a 10 sided polygon?

Q.3: What is the sum of interior angles of a 10-sided polygon? Answer: Given, Number of sides, n = 10. Sum of interior angles = (10 – 2) x 180° = 8 x 180° = 1440°. Practise Questions. Find the number of sides of a polygon, if each angle is equal to 135 degrees. What is the sum of interior angles of a nonagon?

How to find the number of sides of a regular polygon?

Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle Therefore, the number of sides = 360° / 36° = 10 sides

How do you find the exterior angle of a regular polygon?

Exterior angle = 180°-144° Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle