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

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

step-by-step explanation:

their are no angles. sorry cant .