Solve for x in angle bisector please

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]

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