Question

If the sum ofthe interioranglesof an n sided polygon is 720?,then what is the valueofn?

Answer 1

Dear Student

Formula that shows the relation between number of sides of polygon and sum of interior angles is;

sum of interior angles = 180*(n-2)

where, n = number of sides

eg, for triangle (that is familiar to you)

sum of interior angle = 180*(3–2) = 180*1 = 180

Answer for your sum is;

720 = 180*(n-2)

720/180 = n-2

4 = n-2

n = 4+2

n=6

That polygon contains 6 sides.

Regards