Find the supplement of each of the following angles :
(i) `42^(@)` (ii) `90^(@)`
(iii) `124^(@)` (iv) `3/5` of a right angle

Answer

To find the supplement of each angle, we use the formula:

**Supplement of an angle = 180° - angle**

Now, let's solve each part step by step:

### (i) Finding the supplement of `42°`:
1. **Identify the angle**: The angle given is `42°`.
2. **Apply the formula**:
\[ \text{Supplement} = 180° - 42° \]
3. **Calculate**:
\[ \text{Supplement} = 180° - 42° = 138° \]

### (ii) Finding the supplement of `90°`:
1. **Identify the angle**: The angle given is `90°`.
2. **Apply the formula**:
\[ \text{Supplement} = 180° - 90° \]
3. **Calculate**:
\[ \text{Supplement} = 180° - 90° = 90° \]

### (iii) Finding the supplement of `124°`:
1. **Identify the angle**: The angle given is `124°`.
2. **Apply the formula**:
\[ \text{Supplement} = 180° - 124° \]
3. **Calculate**:
\[ \text{Supplement} = 180° - 124° = 56° \]

### (iv) Finding the supplement of `3/5` of a right angle:
1. **Identify the right angle**: A right angle is `90°`.
2. **Calculate `3/5` of `90°`**:
\[ \text{Angle} = \frac{3}{5} \times 90° = 54° \]
3. **Apply the formula for the supplement**:
\[ \text{Supplement} = 180° - 54° \]
4. **Calculate**:
\[ \text{Supplement} = 180° - 54° = 126° \]

### Final Answers:
- Supplement of `42°` is `138°`
- Supplement of `90°` is `90°`
- Supplement of `124°` is `56°`
- Supplement of `3/5` of a right angle is `126°`

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