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

∠PQS and ∠SQR

∠PQT and ∠TQS

∠PQT and ∠TQR

∠PQT and ∠PQS

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Аноним Аноним · Answer 1 · 2017-02-03T17:31:30+01:00

answer is ∠PQT and ∠TQS (second choice)

p.s complementary angles have sume = 90

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wifilethbridge wifilethbridge · Answer 2 · 2019-01-31T23:06:14+01:00

Answer:

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