Question

Find the no. of sides of a polygon if the sum of its interior angles is 540degree

Answer 1

Here is your answer mate
If n are number of sides of a convex polygon, sum of its interior angles is (n−2)×180∘

As in given case sum of interior angles is 540∘, we have

(n−2)×180∘=540∘

or n−2=540/180=3

and n=3+2=5

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Answer 2

sum of angles= 180 ( n -2 ),
where, n= no. of sides
so, 540 = 180 (n - 2 )
     540 = 180n - 360
     540 + 360 = 180n
     900 = 180n
      n = 900/180
        = 5
no. of sides= 5