Question
In figure transversal $l$ intersects two lines $m$ and $n$, $\angle{4}=110^\circ$ and $\angle{7}=65^\circ.$ Is $m\ ||\ n$? 
✓
Answer
Given: $\angle{4}=110^\circ$and $\angle{7}=65^\circ.$
To find: is $m\ ||\ n$ Here, $\angle{7}=\angle{5}=65^\circ$ [Vertically opposite angle]
Now, $\angle{4}+\angle{5}=110+65=175^\circ$
Therefore, $m$ is not parallel to $n$ as the pair of co interior angles is not supplementary.
To find: is $m\ ||\ n$ Here, $\angle{7}=\angle{5}=65^\circ$ [Vertically opposite angle]
Now, $\angle{4}+\angle{5}=110+65=175^\circ$
Therefore, $m$ is not parallel to $n$ as the pair of co interior angles is not supplementary.
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