SAT Question cbe8ca31: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice A is correct. The triangle angle sum theorem states that the sum of the measures of the interior angles of a triangle is $180^{\circ }$. It's given that in $△XYZ$, the measure of $\angle X$ is $24^{\circ }$ and the measure of $\angle Y$ is $98^{\circ }$. It follows that the measure of $\angle Z$ is ${\left(180-24-98\right)}^{\circ }$, or $58^{\circ }$.