If two parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles enclose a rectangle.

Explanation

To prove that the bisectors of the two pairs of interior angles formed by two parallel lines intersected by a transversal enclose a rectangle, follow these steps:

### Step 1: Understand the Setup
Let lines \( l_1 \) and \( l_2 \) be two parallel lines, and let \( t \) be a transversal that intersects \( l_1 \) and \( l_2 \). Label the angles formed at the intersections. Let the angles on line \( l_1 \) be \( a \) and \( b \), and the corresponding angles on line \( l_2 \) be \( c \) and \( d \).

**Hint:** Identify the angles formed by the transversal with the parallel lines and label them clearly.

### Step 2: Use the Property of Parallel Lines
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