Answer:
x = 6
Step-by-step explanation:
Since the given triangles ΔLMN and ΔCBQ are similar,
Their corresponding sides will be proportional.
[tex]\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}[/tex]
Since, [tex]\frac{LM}{CB}= \frac{MN}{BQ}[/tex]
[tex]\frac{(5x-6)}{6}=\frac{52}{13}[/tex]
5x - 6 = 24
5x = 30
x = 6
Therefore, x = 6 will be the answer.
