Which of the following group of angles represents the angles of a triangle?

Options

A. `45^(@), 55^(@), 60^(@)`
B. `50^(@), 60^(@), 70^(@)`
C. `50^(@), 70^(@), 55^(@)`
D. `65^(@), 70^(@), 75^(@)`

Answer

To determine which group of angles represents the angles of a triangle, we need to apply the property of triangle angles. The sum of the angles in a triangle must equal 180 degrees.

Let's analyze each option step by step:

1. **Option 1: 45°, 55°, 60°**
- Calculate the sum:
- 45 + 55 + 60 = 160 degrees
- Since 160 degrees is not equal to 180 degrees, this group does not represent the angles of a triangle.

2. **Option 2: 50°, 60°, 70°**
- Calculate the sum:
- 50 + 60 + 70 = 180 degrees
- Since 180 degrees is equal to 180 degrees, this group represents the angles of a triangle.

3. **Option 3: 50°, 70°, 55°**
- Calculate the sum:
- 50 + 70 + 55 = 175 degrees
- Since 175 degrees is not equal to 180 degrees, this group does not represent the angles of a triangle.

4. **Option 4: 65°, 70°, 55°**
- Calculate the sum:
- 65 + 70 + 55 = 190 degrees
- Since 190 degrees is not equal to 180 degrees, this group does not represent the angles of a triangle.

### Conclusion:
The only group of angles that represents the angles of a triangle is **Option 2: 50°, 60°, 70°**.

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