In the diagram below, determine the value of $x$:
[asy]
size(6.5cm);
pair cis(real magni, real argu) { return (magni*cos(argu*pi/180),magni*sin(argu*pi/180)); }
draw(cis(1.5,15)--cis(-1,15)--cis(-1,15)+cis(2.5,-15));
draw(cis(-1,60)--cis(1,60)--cis(1,60)+cis(2.2,-75));
label("$30^\circ$",cis(-1,15)+(0.2,0),E);
label("$45^\circ$",cis(1,60)+(-0.05,-0.2),S);
label("$130^\circ$",(-0.03,0.03),SE);
label("$x^\circ$",(0.8,-0.64));
[/asy]