the sum of angles in a polygon is 5040⁰ .Then find how many sides does it contain and say formulae how to find it?

Here, we are given that the sum of angles of a polygon is 5040°. We need to find the number of sides this polygon contains. 

So, for this use the formula;

Sum of interior angles of a polygon = 180 (n - 2); where n = number of sides.

Now, 

⇒ 5040° = 180 (n - 2)

⇒ = n - 2

⇒ 28 = n - 2

⇒ n = 28 + 2

⇒ n = 30

Therefore, the given polygon contains 30 sides.