Given :-
- A figure is given to us .
To Find :-
- To determine if [tex] \overline{KM} || \overline{JN}[/tex] .
Solution :-
Here we can use the Thales Theorem , according to which here if the ratio of JK and KL will be equal to the ratio of MN and ML then the lines KM and JN will be parallel .So ,
[tex]\longrightarrow[/tex] JK/KL = MN/ML
[tex]\longrightarrow[/tex] 22.5/25 = 18/20
[tex]\longrightarrow[/tex] 225/250 = 18/20
[tex]\longrightarrow[/tex] 9/10 = 9/10
Hence here since the ratios are equal the lines will be parallel.
