SAT Question f88f27e5: Lines, Angles, and Triangles answer and explanation with Desmos solution

The intersecting lines form a triangle, and the angle with measure of $x^{\circ }$ is an exterior angle of this triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles of the triangle. One of these angles has measure of $23^{\circ }$ and the other, which is supplementary to the angle with measure $106^{\circ }$, has measure of $180^{\circ }-106^{\circ }=74^{\circ }$. Therefore, the value of $x$ is $23+74=97$.