Theorem 6.3 : If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.
Text Solution
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To prove Theorem 6.3, we need to show that if a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel. Here is the step-by-step solution:
### Step-by-Step Solution:
1. **Draw the Diagram**:
- Draw two lines, let’s call them line AB and line CD.
- Draw a transversal line PQ that intersects both lines AB and CD at points M and N respectively.
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