What is the value of n if 8n=9n-5i am looking for an angle measurement

For the beginning, we'll isolate n to the left
side.

For this reason, we'll subtract 9n both
sides:

8n=9n-5

8n - 9n = 9n -
9n - 5

-n = 0 - 5

-n =
-5

We'll multiply by -1 both
sides;

n = 5

Furthermore, to
give a geometric meaning for n = 5, we'll consider a polygon that has the numbr of
sides, n = 5. This kind of polygon is a pentagon.

The
center angle of this pentagon is 360 degrees divided by
5.

the measure of center angle is: 360/5 = 72
degrees.