Answer:
Step-by-step explanation:
From the given figure, we have
\(KN=NM\)
⇒\(14x-3=25\)
⇒\(14x=28\)
⇒\(x=2\)
Also, a is the angle bisector of ∠KNM and also it bisects the side KM such that KL=LM, thus
\(KL=LM\)
Also, \(KL=9x+5\)
Substituting the value of x in the above equation, we get
\(KL=9(2)+5\)
\(KL=18+5\)
\(KL=23\)
Therefore, \(KL=LM\)
\(LM=23\)
Thus, the value of the segment LM is 23.
