Which of the following can be the angles of a triangle?
`(i) 90^@ , 55^@ , 35^@" "(ii) 105^@ , 55^@ , 40^@`

Answer

To determine which of the given sets of angles can form a triangle, we will use the angle sum property of triangles, which states that the sum of the angles in a triangle must equal 180 degrees.

### Step-by-Step Solution:

1. **Identify the angles in the first set**:
- The angles given are: \(90^\circ\), \(55^\circ\), and \(35^\circ\).

2. **Add the angles of the first set**:
- Calculate the sum:
\[ 90 + 55 + 35 \]
- First, add \(55\) and \(35\):
\[ 55 + 35 = 90 \]
- Now add \(90\) (from the first angle):
\[ 90 + 90 = 180 \]

3. **Conclusion for the first set**:
- Since the sum of the angles is \(180^\circ\), the angles \(90^\circ\), \(55^\circ\), and \(35^\circ\) can form a triangle.

4. **Identify the angles in the second set**:
- The angles given are: \(105^\circ\), \(55^\circ\), and \(40^\circ\).

5. **Add the angles of the second set**:
- Calculate the sum:
\[ 105 + 55 + 40 \]
- First, add \(105\) and \(55\):
\[ 105 + 55 = 160 \]
- Now add \(40\):
\[ 160 + 40 = 200 \]

6. **Conclusion for the second set**:
- Since the sum of the angles is \(200^\circ\), which is greater than \(180^\circ\), the angles \(105^\circ\), \(55^\circ\), and \(40^\circ\) cannot form a triangle.

### Final Answer:
- The angles \(90^\circ\), \(55^\circ\), and \(35^\circ\) can form a triangle.
- The angles \(105^\circ\), \(55^\circ\), and \(40^\circ\) cannot form a triangle.