SAT Question 58687a66: Lines, Angles, and Triangles answer and explanation with Desmos solution

It's given that line $g$ is parallel to line $h$. Since line $l$ intersects both lines, it's a transversal. The angles in the figure marked as $175^{\circ }$ and $x^{\circ }$ are on the same side of the transversal, where one is an interior angle with line $h$ as a side, and the other is an exterior angle with line $g$ as a side, respectively. Thus, the marked angles are corresponding angles. When two parallel lines are intersected by a transversal, corresponding angles have equal measure. Therefore, the value of $x$ is $175$.