In the given.AB a straight line `andleBOC=65^(@)`

Answer

To solve the problem step by step, we will follow the properties of angles formed by a straight line.

### Step-by-Step Solution:

1. **Understanding the Given Information:**
- We have a straight line AB.
- The angle BOC is given as 65 degrees.

2. **Using the Property of Angles on a Straight Line:**
- The property states that the sum of angles on a straight line is equal to 180 degrees.
- Therefore, if we denote angle AOC as \( x \), we can write the equation:
\[ \text{Angle BOC} + \text{Angle AOC} = 180^\circ \]
- Substituting the known value:
\[ 65^\circ + x = 180^\circ \]

3. **Solving for Angle AOC:**
- To find angle AOC, we can rearrange the equation:
\[ x = 180^\circ - 65^\circ \]
- Now, calculate the value:
\[ x = 115^\circ \]

4. **Conclusion:**
- Therefore, angle AOC is 115 degrees.

### Final Answer:
- Angle AOC = 115 degrees.