Question

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

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). Given \(\angle RSU+\angle UST = 90^{\circ}\) (since they are complementary) and \(\angle QSR\cong\angle RSU\) (given congruence).

Step2: Substitute \(\angle RSU\) with \(\angle QSR\)

By substitution, \(\angle QSR+\angle UST = 90^{\circ}\).

Step3: Apply the complementary - angles definition

Since the sum of \(\angle QSR\) and \(\angle UST\) is \(90^{\circ}\), they are complementary.

Answer:

They are complementary