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rectangle qrst is shown. angle qrt is congruent to angle str, and angle…

Question

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.

Explanation:

Step1: Recall congruence and complementarity

Given $\angle QRT\cong\angle STR$ and $\angle STR$ is complementary to $\angle QTR$.

Step2: Substitute using congruence

Since $\angle QRT\cong\angle STR$, we can substitute $\angle QRT$ for $\angle STR$.
So $\angle QRT$ is complementary to $\angle QTR$.

Answer:

B. They are complementary.