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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 the sum of interior angles on the same side of transversal is 180°, then the lines are _________________
Given:
If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is 180°, then the lines are …….
To do:
We have to fill in the given blank.
Solution:
In the above figure,
$\angle 3 + \angle 6 = 180^o$
Therefore,
If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180°, then the lines are parallel.
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