Question
In Fig.which of the two lines are parallel and why?
✓
Answer
$i.$ Sum of two interior angles $132^{\circ}+48^{\circ}=180^{\circ}\left[\therefore\right.$ equal to $\left.180^{\circ}\right]$
Here, we see that the sum of two interior angles on the same side of $n$ is $180^{\circ}$, then they are the parallel line.
$ii.$ The sum of two interior angles $73^{\circ}+106^{\circ}=179^{\circ} \neq 180^{\circ}$.
Here, we see that the sum of two interior angles on same side of $r$ is not equal to $180^{\circ}$, then they are not the parallel lines.
Here, we see that the sum of two interior angles on the same side of $n$ is $180^{\circ}$, then they are the parallel line.
$ii.$ The sum of two interior angles $73^{\circ}+106^{\circ}=179^{\circ} \neq 180^{\circ}$.
Here, we see that the sum of two interior angles on same side of $r$ is not equal to $180^{\circ}$, then they are not the parallel lines.
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