Question

angle rsu is complementary to angle ust. angle qsr is congruent to angle rsu. which statement is true about angles ust and qsr? they are complementary. they are supplementary. they are congruent. they are obtuse.

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90 degrees. Given that $\angle RSU$ is complementary to $\angle UST$, so $\angle RSU+\angle UST = 90^{\circ}$.

Step2: Use the congruence of angles

Since $\angle QSR\cong\angle RSU$, then $\angle QSR$ and $\angle UST$ are also complementary because we can substitute $\angle RSU$ with $\angle QSR$ in the equation $\angle RSU+\angle UST = 90^{\circ}$.

Answer:

They are complementary.