If one of the angles of a triangle is `130^(@)` then the angle between the bisectors of the other two angles can be

Options

A. `50^(@)`
B. `65^(@)`
C. `90^(@)`
D. `155^(@)`

Explanation

To solve the problem, we need to find the angle between the bisectors of the other two angles in a triangle where one angle is given as \(130^\circ\).

### Step-by-Step Solution:

1. **Identify the Angles of the Triangle**:
- Let the angles of the triangle be \(A\), \(B\), and \(C\).
- Given that \(A = 130^\circ\).

2. **Use the Triangle Sum Property**:
- The sum of the angles in a triangle is \(180^\circ\).
- Therefore, we can write the equation:
\[ A + B + C = 180^\circ \]
- Substituting the value of \(A\):
\[ 130^\circ + B + C = 180^\circ \]

3. **Calculate the Sum of the Other Two Angles**:
- Rearranging the equation gives:
\[ B + C = 180^\circ - 130^\circ = 50^\circ \]

4. **Find the Angle Between the Angle Bisectors**:
- The angle between the bisectors of angles \(B\) and \(C\) can be calculated using the formula:
\[ \text{Angle between bisectors} = \frac{1}{2} \times (B + C) \]
- Substituting the value of \(B + C\):
\[ \text{Angle between bisectors} = \frac{1}{2} \times 50^\circ = 25^\circ \]

5. **Conclusion**:
- Therefore, the angle between the bisectors of the other two angles \(B\) and \(C\) is \(25^\circ\).

### Final Answer:
The angle between the bisectors of the other two angles can be \(25^\circ\).