A line bisector divides a line into equal segments.
The value of LB is 6
The given parameters are:
[tex]\mathbf{C = 90^o}[/tex]
[tex]\mathbf{\angle ABC = 30^o}[/tex]
[tex]\mathbf{CL = 6}[/tex]
From the question, we understand that:
AL is a bisector.
This means that:
Line segment AL divides line segment CB into equal segments
In other words;
[tex]\mathbf{CL = LB}[/tex]
Rewrite as:
[tex]\mathbf{LB = CL}[/tex]
Substitute 6 for CL
[tex]\mathbf{LB = 6}[/tex]
Hence, the value of LB is 6
See attachment for illustration
Read more about bisectors at:
https://brainly.com/question/2425077
