Is it possible for triangle JKL to be similar to triangle XYZ Explain.

Yes. For two triangles to be similar all corresponding angles have to have the same angle.
J corresponds to X and they are both 71
K corresponds to Y and they are both 52 because 180-(71+57)= 52
L corresponds to Z and they are both 57 because 180-(71+52) = 57

Hope this helped :)