SAT Question 43236565: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice C is correct. Vertical angles, or angles that are opposite each other when two lines intersect, are congruent. It's given that line $k$ intersects line $n$. Based on the figure, the angle with measure $x^{\circ }$ and the angle with measure $145^{\circ }$ are vertical angles. Therefore, the value of $x$ is equal to $145$.