Question

Solve for x in angle bisector please

Answer 1

x = 15

Explanation:

Since, BX is the bisector of
`\angle BAC`

`\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\</p><p>\therefore 24= \frac {1}{2}* (4x - 12)\\\\</p><p>\therefore 24= \frac {1}{2}* 2(2x - 6)\\\\</p><p>\therefore 24= (2x - 6)\\\\</p><p>\therefore 24 = 2x - 6 \\ \\ </p><p>\therefore 24 +6 = 2x\\\\</p><p>\therefore 30 = 2x \\\\</p><p>\therefore x = (30)/(2) \\\\</p><p>\therefore x = 15</p><p>`