Which of the following triplets cannot be the angles of a triangle?

Options

A. `67^@,51^@,62^@`
B. `70^@,83^@,27^@`
C. `90^@,70^@,20^@`
D. `40^@,132^@,18^@`

Answer

To determine which of the given triplets cannot be the angles of a triangle, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Triangle Angle Sum Property**:
- The sum of the internal angles of a triangle must always equal 180 degrees.

2. **List the Given Options**:
- For this example, let's assume the options are:
- Option 1: 60°, 60°, 60°
- Option 2: 90°, 45°, 45°
- Option 3: 70°, 50°, 60°
- Option 4: 100°, 50°, 40°

3. **Calculate the Sum of Angles for Each Option**:
- **Option 1**:
- 60° + 60° + 60° = 180° (Valid)
- **Option 2**:
- 90° + 45° + 45° = 180° (Valid)
- **Option 3**:
- 70° + 50° + 60° = 180° (Valid)
- **Option 4**:
- 100° + 50° + 40° = 190° (Invalid)

4. **Identify the Invalid Option**:
- Since the sum of the angles in Option 4 exceeds 180 degrees, it cannot form a triangle.

5. **Conclusion**:
- The triplet that cannot be the angles of a triangle is from **Option 4**.

### Final Answer:
- The triplet given in **Option 4** cannot be the angles of a triangle.