SAT Question e0d2e21a: Lines, Angles, and Triangles answer and explanation with Desmos solution

Choice C is correct. It's given that triangle $XYZ$ is obtained by a dilation of triangle $ABC$. It follows that triangle $ABC$ is similar to triangle $XYZ$, where $A$ corresponds to $X$. Since corresponding angles in similar triangles have the same measure and the measure of angle $A$ is $60$ degrees, it follows that the measure of angle $X$ is also $60$ degrees.