rectangle qrst is shown. angle qrt is congruent to angle str, and angle str is complementary to angle qtr…
rectangle qrst is shown. angle qrt is congruent to angle str, and angle str is complementary to angle qtr. which statement is true about angles qrt and qtr? they are congruent. they are complementary. they are supplementary. they are right angles.
Answer
Explanation:
Step1: Use given congruence
Given that $\angle QRT\cong\angle STR$.
Step2: Use complementary - angle relationship
Given that $\angle STR$ is complementary to $\angle QTR$, which means $\angle STR+\angle QTR = 90^{\circ}$.
Step3: Substitute using congruence
Since $\angle QRT\cong\angle STR$, we can substitute $\angle STR$ with $\angle QRT$ in the equation $\angle STR+\angle QTR = 90^{\circ}$. So $\angle QRT+\angle QTR = 90^{\circ}$.
Answer:
They are complementary.