Answer:
x = 11
Explanation:
If both lines were parallel, then the angles with labels would be alternate angles between parallel lines, which will make them equal in measure.
so the measure of one (5x+9) would equal the measure of the other one (6x-2) which in math terms becomes:
5 x + 9 = 6 x - 2
subtract 5x from both sides:
9 = x - 2
add 2 on both sides
x = 11