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 the definition of complementary angles

Two angles are complementary if the sum of their measures is \(90^{\circ}\).

Step2: Use the given congruency and complementary relationships

We know that \(\angle QRT\cong\angle STR\) and \(\angle STR\) is complementary to \(\angle QTR\). By substitution (since \(\angle QRT\) and \(\angle STR\) have the same measure), \(\angle QRT\) is also complementary to \(\angle QTR\). So the sum of the measures of \(\angle QRT\) and \(\angle QTR\) is \(90^{\circ}\), which means they are complementary.

Answer:

They are complementary