Fill in the blanks in each of the following to make the statement true:If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ________________
Given:
If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are …….
To do:
We have to fill in the given blank.
Solution:
![](/assets/questions/media/153848-52573-1631284576.png)
In the above figure, $m \parallel n$ and $p$ is the transversal.
$\angle 3$ and $\angle 6$ are interior angles on the same side of the transversal.
$\angle 3 + \angle 6 = 180^o$
Therefore,
If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary.
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