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:

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.

Tutorialspoint

Updated on: 10-Oct-2022

30 Views

Kickstart Your Career

Get certified by completing the course

Get Started