Question

The sum of the measures of the interior angles of a pplygon is 1440°. Find the number of side of this polygon

Answer 1

The number of sides is 10

Answer 2

We know that sum of interior sides of a polygon with n sides = 180(n-2).  ---- (1)

Given that sum of the measures of the interior angles of a polygon = 1440.  ---- (2)

From (1) & (2), The equation can be written as

180(n - 2) = 1440

180n - 360 = 1440

180n = 1440 + 360

180n = 1800

n = 1800/180

n = 10.

Therefore the number of sides of the polygon = 10.


Hope this helps!