Question

is it possible to have a regular polygon with measure of each exterior angle is 22 degree​

Answer 1

Step-by-step explanation:

Given :-

Each exterior angle of a regular polygon = 22°

To find :-

Is it possible to have a regular polygon with measure of each exterior angle is 22° ?

Solution:-

Given that

Each exterior angle of a regular polygon = 22°

We know that

Each exterior angle of a regular polygon of n sides is 360°/n

=> 360°/n = 22°

=> 360° = 22° × n

=> 22°×n = 360°

=> n = 360°/22°

=> n = 180/11

=> n is a rational number

But n should be a natural number.

So, 22° is not possible .

Answer:-

It is not possible to have a regular polygon with measure of each exterior angle is 22°

Used formulae:-

→ Each exterior angle of a regular polygon of n sides is 360°/n

• n = number of sides

Answer 2

Answer:

yes

Step-by-step explanation:

it is possible because nothing is impossible in the world.everything is possible if you work hard.