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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Updated on: 10-Oct-2022

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