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 congruent. they are supplementary. they are obtuse.

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Use the congruence property

Since $\angle QSR\cong\angle RSU$, we can substitute $\angle RSU$ with $\angle QSR$ in the complementary - angle equation.
So $\angle QSR+\angle UST = 90^{\circ}$.

Answer:

They are complementary.