18. Exemplar Example Problems I

1. Let \(OA\), \(OB\), \(OC\) and \(OD\) are rays in the anticlockwise direction such that \(∠ AOB = ∠COD = 100^°\), \(∠BOC = 82^°\) and \(∠AOD = 78^°\). Is it true to say that \(AOC\) and \(BOD\) are lines?

 

2. A transversal intersects two lines in such a way that the two interior angles on the same side of the transversal are equal. Will the two lines always be parallel? Give reason for your answer.