Fill in the blanks in each of the following to make the statement true:If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the lines are _______________
Given:
If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are …….
To do:
We have to fill in the given blank.
Solution:
![](/assets/questions/media/153848-52577-1631285567.png)
In the above figure,
$\angle 3=\angle 5$
Therefore,
If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are parallel.
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