Question

S it possible to have a regular polygon if each interior angle is 110°,justify with workings

Answer 1

Answer:

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

Step-by-step explanation:

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

Hope it will help you