Lines, angles, and triangles SAT question

Choice C is correct. It’s given that triangle $XYZ$ is similar to triangle $RST$, such that $X$, $Y$, and $Z$ correspond to $R$, $S$, and $T$, respectively. Since corresponding angles of similar triangles are congruent, it follows that the measure of $\angle Z$ is congruent to the measure of $\angle T$. It’s given that the measure of $\angle Z$ is $20^{\circ }$. Therefore, the measure of $\angle T$ is $20^{\circ }$.

Choice A is incorrect and may result from a conceptual error.

Choice B is incorrect. This is half the measure of $\angle Z$.

Choice D is incorrect. This is twice the measure of $\angle Z$.