Two lines l and m , are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer.

Explanation

To determine whether two lines \( l \) and \( m \) that are both perpendicular to the same line \( n \) are also perpendicular to each other, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding Perpendicular Lines**:
- By definition, two lines are said to be perpendicular if they intersect at a right angle (90 degrees).

2. **Identifying the Lines**:
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