angle rsu is complementary to angle ust. angle qsr is congruent to angle rsu. which statement is true about…

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.

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.

Answer

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 $\angle QSR\cong\angle RSU$, then $\angle QSR$ and $\angle RSU$ have the same measure. Let $m\angle QSR = m\angle RSU=x$ and $m\angle UST = y$. We know $x + y=90^{\circ}$.

Step3: Substitute the congruent - angle measure

Substituting $x$ for $m\angle QSR$ in the equation $x + y=90^{\circ}$, we get $m\angle QSR+m\angle UST = 90^{\circ}$.

Answer:

They are complementary.