In Fig., \(∠1 = \)54\(^°\) and \(∠6 = \)126\(^°\). Prove that the lines \(m\) and \(n\) are parallel.
Proof:
We have, \(∠1 = \)54\(^°\) and \(∠6 = \)126\(^°\)
Here, \(∠1 = ∠\) [vertically opposite angles]
\(∠\)\( = ∠1 = \)54\(^°\)
Now, \(∠3 + ∠6 =\) \(^°\)
We know that, if the sum of two interior angles on same side of \(l\) is \(^°\), then lines are parallel.
Hence, \(m || n\).