Question

is it possible to have a regular polygon if each interior angle is 110 degree​

Answer 1

Answer:

no

Step-by-step explanation:

As we know that the measure of a regular polygon is 540 degrees.

And here,

110 x 5 =550

Answer 2

It is not  possible to have a regular polygon if each interior angle is 110 degree​.

Explanation:

We know that in a regular polygon,

Exterior angle + Interior angle = 180°

If each interior angle is 110° , then exterior angle =  180°- 110°=70°

Also, the sum of all exterior angles in a regular polygon is 360°.

Let this polygon have n sides , then

n x (exterior angle)= 360°    [All sides in regular polygon are equal.]

n= 360°÷ (exterior angle)

⇒ n= 360°÷ 70° = 5.14285714286 , but number of sides should be natural number.

Therefore , it is not  possible to have a regular polygon if each interior angle is 110 degree​.

# Learn more :

The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle.

https://brainly.com/question/6684024