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 can follow these steps:

### Step 1: Understand the Given Information
We have two parallel lines, say line \( A \) and line \( B \), and a transversal line \( T \) that intersects these two parallel lines at points \( P \) and \( Q \). The angles formed at these intersections are corresponding angles.

### Step 2: Identify Corresponding Angles
Let’s denote the angles formed by the transversal and the parallel lines:
- Angle \( A, P, G \) (formed by line \( A \) and transversal \( T \))
...