Question

Sum of all interior angles of a regular polygon is 540 degree. Find the value of each angle?

Answer 1

Answer:

Let there are n sides in the polygon that has a sum of internal angles 540∘ then

(n−2)×180°=540°

n−2=3

n=5

It have 5 sides so it is a pentagon.

Now, the angles are in consecutive order then

540°÷5=108°

So, 106°+107°+108°+109°+110°=540°

So, the smallest angle will 106°

Answer 2

let there are 'n' sides in the polygon.

(n-2)×180 =540

n-2 =540/180

n-2 =3

n=3+2 =5

There are 5 sides of polygon .

so,it is pentagon

540÷5= 108°

Therefore each Angle is of 108°