[tex]\tt Step-by-step~explanation:[/tex]
Since no real values are given for the angles, we will not have an exact angle measurement.
If ∠LPQ is x+28, then that means ∠NPM is the same, since they are vertical angles.
[tex]\tt LPQ=x+28\\NPM=x+28[/tex]
Since ∠QPM is x, then ∠LPN is also x, because they are also vertical angles.
[tex]\tt QPM=x\\LPN=x[/tex]
[tex]\large\boxed{\tt Our ~final~answer:~LPQ=x+28,~LPN=x}[/tex]
