Angle between the lines `6+x=0` and 3 - y = 0 will be

Options

A. `0^@`
B. `90^@`
C. `180^@`
D. `60^@`

Answer

To find the angle between the lines given by the equations \(6 + x = 0\) and \(3 - y = 0\), we can follow these steps:

### Step 1: Identify the lines
The first line can be rewritten as:
\[ x = -6 \]
This indicates a vertical line parallel to the y-axis.

The second line can be rewritten as:
\[ y = 3 \]
This indicates a horizontal line parallel to the x-axis.

### Step 2: Determine the orientation of the lines
- The line \(x = -6\) is vertical (parallel to the y-axis).
- The line \(y = 3\) is horizontal (parallel to the x-axis).

### Step 3: Analyze the angle between the lines
Vertical and horizontal lines are always perpendicular to each other. Therefore, the angle between these two lines is \(90^\circ\).

### Step 4: Conclusion
Thus, the angle between the lines \(6 + x = 0\) and \(3 - y = 0\) is:
\[ \text{Angle} = 90^\circ \]

### Final Answer
The angle between the lines is \(90^\circ\).

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