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.
⇒ 5040° = 180 (n - 2)
⇒ = n - 2
⇒ 28 = n - 2
⇒ n = 28 + 2
⇒ n = 30
Therefore, the given polygon contains 30 sides.