In the figure shown, which pair of angles must be complementary?
∠pqs and ∠sqr
∠pqt and ∠tqs
∠pqt and ∠tqr
∠pqt and ∠pqs

2.∠PQT and ∠TQS

Step-by-step explanation:

To Find : which pair of angles must be complementary?

Definition : Complementary angles are those whose sum is 90°

1.∠PQS and ∠SQR

These are supplementary angles . since their sum is 180°

2.∠PQT and ∠TQS

Since their sum is 90° hence complementary angles

3.∠PQT and ∠TQR

These are supplementary angles . since their sum is 180°

4.∠PQT and ∠PQS

Since ∠PQS =90° (given).

so, adding ∠PQT will increase its measure .

Hence not complementary angles