A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

Explanation

To prove that the bisectors of any pair of corresponding angles formed by a transversal intersecting two parallel lines are parallel, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Parallel Lines and Transversal**:
Let lines \( l \) and \( m \) be two parallel lines, and let transversal \( t \) intersect line \( l \) at point \( P \) and line \( m \) at point \( Q \).

**Hint**: Remember that parallel lines maintain equal corresponding angles when intersected by a transversal.
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