Question

In the figure shown, which pair of angles must be complementary?

∠PQS and ∠SQR

∠PQT and ∠TQS

∠PQT and ∠TQR

∠PQT and ∠PQS

Answer 1

answer is ∠PQT and ∠TQS (second choice)

p.s complementary angles have sume = 90

Answer 2

2.∠PQT and ∠TQS

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