SAT Question afa3c48b: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice D is correct. The sum of consecutive interior angles between two parallel lines and on the same side of the transversal is $180$ degrees. Since it's given that line $m$ is parallel to line $n$, it follows that $x+26=180$. Subtracting $26$ from both sides of this equation yields $154$. Therefore, the value of $x$ is $154$.