Each figure shows a triangle with one of its angle bisectors.

Answer:
x = 7
Step-by-step explanation:
XP bisects <X into two equal parts, <1 and <2. Therefore,
<1 = <2
<1 = 5x - 2
<2 = 4x + 5
Thus:
5x - 2 = 4x + 5
5x - 2 - 4x = 5 (subtraction property of equality)
x - 2 = 5
x = 5 + 2 (addition property of equality)
x = 7