1. The segment LO bisects one of the angles of the triangle shown in the figure attached, and divide the segment NM in two segments: NO and OM. Therefore, you must apply the Triangle Angle Bisector Theorem, which is shown below:
LN/LM=NO/OM
LN=10
LM=18
NO=4
OM=x (The value you want to find)
2. When you substitute this values in LN/LM=NO/OM, you have:
10/18=4/x
10x=(18)(4)
x=(18)(4)/10
x=72/10
3. Finally, you obtain:
x=7.2
The answer is: The value of "x" is 7.2
