Question

supplementary hw - find the missing measurement in the pair of angles.

1. angle =
2. angle =
3. angle =
4. angle =
5. angle =
6. angle =
7. angle =
8. angle =

9)
10)

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°.

Step2: Calculate each missing angle

1. For the first pair with one angle 141°, let the missing angle be \(x\). Then \(x = 180 - 141=39^{\circ}\).
2. For the second pair with one angle 154°, \(x = 180 - 154 = 26^{\circ}\).
3. For the third pair with one angle 148°, \(x = 180 - 148=32^{\circ}\).
4. For the fourth pair with one angle 67°, \(x = 180 - 67 = 113^{\circ}\).
5. For the fifth pair with one angle 78.5°, \(x = 180 - 78.5 = 101.5^{\circ}\).
6. For the sixth pair with one angle 59.1°, \(x = 180 - 59.1 = 120.9^{\circ}\).
7. For the seventh pair with one angle 135.9°, \(x = 180 - 135.9 = 44.1^{\circ}\).
8. For the eighth pair with one angle 91.7°, \(x = 180 - 91.7 = 88.3^{\circ}\).
9. For the pair with one angle 25°, \(x = 180 - 25 = 155^{\circ}\).
10. For the pair with one angle 55°, \(x = 180 - 55 = 125^{\circ}\).

Answer:

1. \(39^{\circ}\)
2. \(26^{\circ}\)
3. \(32^{\circ}\)
4. \(113^{\circ}\)
5. \(101.5^{\circ}\)
6. \(120.9^{\circ}\)
7. \(44.1^{\circ}\)
8. \(88.3^{\circ}\)
9. \(155^{\circ}\)
10. \(125^{\circ}\)