In the figure, $p$ is a transversal to lines $m$ and $n, \angle 2 = 120^o$ and $\angle 5 = 60^o$. Prove that $m \parallel n$.
"
Given:
$p$ is a transversal to lines $m$ and $n, \angle 2 = 120^o$ and $\angle 5 = 60^o$.
To do:
We have to prove that $m \parallel n$.
Solution:
From the figure,
$\angle 2 + \angle 3 = 180^o$ (Linear pair)
$120^o+ \angle 3 = 180^o$
$\angle 3 = 180^o- 120^o$
$\angle 3= 60^o$
$\angle 3 = \angle 5$
Here, $\angle 3$ and $\angle 5$ are alternate angles
Therefore,
$m \parallel n$.
Hence proved.
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