Answer:
x = 15
Step-by-step explanation:
Since, BX is the bisector of [tex] \angle BAC[/tex]
[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\
\therefore 24= \frac {1}{2}\times (4x - 12)\\\\
\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\
\therefore 24= (2x - 6)\\\\
\therefore 24 = 2x - 6 \\ \\
\therefore 24 +6 = 2x\\\\
\therefore 30 = 2x \\\\
\therefore x = \frac{30}{2} \\\\
\therefore x = 15
[/tex]
