Answer: 12
Explanation:
Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.
9x-54=4x+6 [subtract both sides by 4x]
5x-54=6 [add both sides by 54]
5x=60 [divide both sides by 5]
x=12
Now, we know that x is 12.