SAT Question 9342ca50: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice A is correct. It's given that $BC$ is parallel to $AD$. Since line $t$ intersects $\overline{BC}$ and $\overline{AD}$, it's a transversal. The angles in the figure marked as $x$ ° and $y$ ° are on opposite sides of the transversal and lie between the parallel segments, so they are alternate interior angles. When two parallel segments are intersected by a transversal, alternate interior angles have equal measure. It's also given that $x=22$. Therefore, the value of $y$ is $22$.