Given: ∠h and ∠x are supplementary. prove: l || n

I won't write out a formal proof; here's an outline.

H+X=180.  definition of supplementary
H+F=180   crossing lines
X=F           supplements of the same angle are equal, or just algebra          
l || n          When the alternate angles of a transverse line between two lines are congruent, the lines are parallel

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c