Question

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]

Answer 1

Answer:

55 degrees

I answered the question on AoPS and it said it was correct.