#### Answer

n=12

#### Work Step by Step

We can multiply by n assuming that nā 0 because it's the denominator of a fraction:
$(n-2)\times 180 = 150n$
By expanding the brackets we have:
$180n -2\times 180 = 150n$
$180n -360 = 150n$
We can add 360 to and subtract 150n from both sides:
$180n-150n= 360$
$30n=360$
We can divide by 30:
$n=12$