SAT Question 0013adbd: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice A is correct. In the figure shown, line $t$, which is a transversal, intersects lines $j$ and $k$. If two lines are intersected by a transversal and the measures of a pair of same-side interior angles sum to $180^{\circ }$, then the lines are parallel. In the figure, the angle measuring $134^{\circ }$ and the angle measuring $x^{\circ }$ are a pair of same-side interior angles. If $x=46$, $(134+x{)}^{\circ }=(134+46{)}^{\circ }$, or $(134+x{)}^{\circ }=180^{\circ }$. Therefore, $x=46$ is sufficient to prove that lines $j$ and $k$ are parallel.