Answer: x = 15
Step-by-step explanation:
We can model the situation as:
BD is the angle bisector of angle ABC. It means that BD cut the angle ABC in 2 equal parts.
So, we can say that 2 times ABD is equal to ABC, then:
2*(∠ABD) = ∠ABC
Replacing ABD by 24 and ABC by 4x - 12 and solving for x, we get:
2(24) = 4x - 12
48 = 4x - 12
48 + 12 = 4x
60 = 4x
60/4 = x
15 = x
Therefore, x is equal to 15