the sum of angles in a polygon is 5040^{0} .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.

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