In Fig., \(∠1 = 60^°\) and \(∠6 = 120^°\). Show that the lines \(m\) and \(n\) are parallel.
 
YCIND_240306_6084_lines and angles_12.png
 
Proof:
 
Since, \(∠1 = 60^°\) and \(∠6 = 120^°\)
 
Here, \(∠1 = ∠\) [vertically opposite angles]
 
\(∠\)\( = ∠1 = 60^°\)
 
Now, \(∠3 + ∠6  =\) \(^°\)
 
We know that, if the sum of two interior angles on same side of \(l\) is \(^°\), then lines are parallel.
 
Hence, \(m || n\).