So there is a supplementary angle, to the left side it measures (4n + 22) to the right side it measures (8n - 10)

To find the value of n, let's set up an equation:

Since the angles are supplementary, their sum equals 180 degrees:

(4n + 22) + (8n - 10) = 180

Simplify the equation:

4n + 22 + 8n - 10 = 180
12n + 12 = 180

Subtract 12 from both sides:

12n = 168

Divide by 12 to solve for n:

n = 168 / 12
n = 14

Therefore, the value of n is 14. So, the answer choice is n=14.

and ur sure

Yes, I'm sure. The correct value of n for the given supplementary angles is 14.