Question

If the sum of the interior angles of a polygon differ by 540 then the no..of sides in the polygon is??
pls don't span I need steps even​

Answer 1

Answer:

sum of all the interior angles of a polygon =(n-2)180

540 = (n-2)180. (n = number of sides)

540/180 = n-2

3 = n-2

3+2=n

n = 5

number of sides = 5

you can use other formula also (2n-4)

Answer 2

Answer:

5 sides is the correct answer

Step-by-step explanation:

The sum of the interior angles of a polygon = 180° × (No of sides - 2)

⇒ 540° = 180° × (No of sides - 2)

⇒ 3       = No of sides - 2

⇒ ∴ No of sides = 3 + 2

                           = 5 sides                   ←ANSWER

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