I have got following question:

How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle?

The formula to find measurement of each interior angle of a polygon is:

((n-2) * 180)/n and the formula to find the measurement of each exterior angle is:

360/n

Now ((n-2) * 180)/n = 8 * (360)/n

now ((n-2) * 180) = 8 * 360

180 n -360 = 8 * 360

180 n = 7 * 360

n = 14

I am getting n = 14 which is wrong.

Some body please guide me what's the prob with it.

Zulfi.