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]

55 degrees

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

A parallelogram is a four-sided figure that has opposite sides that are parallel and are equal in length. A triangle is not a parallelogram because it does not have four sides, nor parallel sides. Since the cross-section of a triangular prism is a triangle (which cannot be a parallelogram), a parallelogram can never be the cross-section of a triangular prism.

Step-by-step explanation:

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