Mark against the correct answer:
With the angles given below, in which case the construction of triangle is possible?

Options

A. `30^(@), 60^(@), 70^(@)`
B. `50^(@), 70^(@), 60^(@)`
C. `40^(@), 80^(@), 65^(@)`
D. `72^(@), 28^(@), 90^(@)`

Answer

To determine which set of angles can form a triangle, we need to remember that the sum of the interior angles of a triangle must equal 180 degrees. Let's analyze each option step by step.

### Step-by-Step Solution:

1. **Option 1: 30°, 60°, 70°**
- Calculate the sum:
\[ 30 + 60 + 70 = 160° \]
- Since 160° is not equal to 180°, this option cannot form a triangle.

2. **Option 2: 50°, 70°, 60°**
- Calculate the sum:
\[ 50 + 70 + 60 = 180° \]
- Since 180° equals 180°, this option can form a triangle.

3. **Option 3: 40°, 80°, 65°**
- Calculate the sum:
\[ 40 + 80 + 65 = 185° \]
- Since 185° is not equal to 180°, this option cannot form a triangle.

4. **Option 4: 72°, 28°, 90°**
- Calculate the sum:
\[ 72 + 28 + 90 = 190° \]
- Since 190° is not equal to 180°, this option cannot form a triangle.

### Conclusion:
The only option that can form a triangle is **Option 2: 50°, 70°, 60°**.

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