`P` is a point equidistant from two lines `l` and `m` intersecting at a point `A`, Show that `A P` bisects the angle between them.

Explanation

To prove that line segment \( AP \) bisects the angle between the two lines \( l \) and \( m \) at point \( A \), we will follow these steps:

### Step-by-Step Solution:

1. **Draw the Diagram**:
- Draw two lines \( l \) and \( m \) that intersect at point \( A \).
- Mark a point \( P \) that is equidistant from both lines \( l \) and \( m \).

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