Question

find the missing - angle measurement in each set of complementary angles.

1. angle = 56
2. angle =
3. angle =
4. angle =
5. angle =
6. angle =
7. angle =
8. angle =
9. angle =
10. angle =
11. angle =
12. angle =

Explanation:

Step1: Recall complementary - angle property

Complementary angles sum to 90°.

Step2: Calculate missing angles

1. \(90 - 53=37^{\circ}\)
2. \(90 - 49 = 41^{\circ}\)
3. \(90 - 33=57^{\circ}\)
4. \(90 - 22 = 68^{\circ}\)
5. \(90 - 26=64^{\circ}\)
6. \(90 - 52 = 38^{\circ}\)
7. \(90 - 36=54^{\circ}\)
8. \(90 - 17 = 73^{\circ}\)
9. \(90 - 20=70^{\circ}\)
10. \(90 - 58 = 32^{\circ}\)
11. \(90 - 39=51^{\circ}\)
12. \(90 - 28 = 62^{\circ}\)

Answer:

1. \(37^{\circ}\)
2. \(41^{\circ}\)
3. \(57^{\circ}\)
4. \(68^{\circ}\)
5. \(64^{\circ}\)
6. \(38^{\circ}\)
7. \(54^{\circ}\)
8. \(73^{\circ}\)
9. \(70^{\circ}\)
10. \(32^{\circ}\)
11. \(51^{\circ}\)
12. \(62^{\circ}\)