Answer:
XN = 6
Step-by-step explanation:
Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is
[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values
[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )
12XN = 72 ( divide both sides by 12 )
XN = 6
