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: Use the given congruency and complementarity

Given \( \angle QRT\cong\angle STR\) and \( \angle STR+\angle QTR = 90^{\circ}\) (since they are complementary).

Step2: Substitute \(\angle QRT\) for \(\angle STR\)

Substituting \(\angle QRT\) in the second equation, we get \( \angle QRT+\angle QTR=90^{\circ}\).

Answer:

They are complementary.