Question
In the given figure, decide whether $l$ is parallel to $m.$
✓
Answer
In the above figure we see that, angle $x$ and $98^{\circ}$ are forming a linear pair on the line $I$.
Therefore,
$x+98^{\circ}=180^{\circ}(\text { Sum of angles of linear pair) }$
$\Rightarrow x=180^{\circ}-98^{\circ}=82^{\circ}$
We have to show that I and $m$ are parallel to each other.
For this, Corresponding angles $\angle \mathrm{mBC}$ and $\angle \mathrm{x}$ should be equal
But, $\angle \mathrm{x}=82^{\circ}$
And, $\angle \mathrm{mBC}=72^{\circ}$
So, these angles are not equal.
Therefore, Lines $I$ and $m$ are not parallel to each other.
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