# Each interior angle of a regular polygon lies between 136 to 142. How do we calculate the sides of the polygon?

##### 1 Answer

Jan 7, 2016

#### Explanation:

In a regular polygon each interior angle can be obtained in this way:

From the conditions of the problem:

That's the conjugation of this two inequations:

Resolving the first inequation

Resolving the second inequation

Conjugating the two inequations

Since

By the way