Find the value of x
[asy]
pair A,B,C,D,EE,F,G,H,I,J,K,L,M;
A = (0,0);
B = (1,0);
C = (0,0.5);
D = C + B;
EE = (0,-0.4);
F = (0.8,0.7);
G = (0.75,-0.5);
H = (0.12,0.8);
draw(A--B);
draw(C--D);
draw(G--H);
draw(EE--F);
I = intersectionpoint(A--B,EE--F);
J = intersectionpoint(G--H, A--B);
K = intersectionpoint(EE--F,G--H);
L = intersectionpoint(G--H,C--D);
M = intersectionpoint(C--D,EE--F);
label("$50^\circ$", I+(-0.06,0),SW);
label("$50^\circ$",M+(0.05,0),NE);
label("$75^\circ$",L+(-0.04,0),NW);
label("$x^\circ$",J,NE);
[/asy]
