### Video Transcript

Which of the following angle pairs are consecutive interior angles? A) angle π and angle π, B) angle π and angle π, C) angle π and angle π, D) angle π and angle π, or E) angle π and angle π.

First, we need to consider the definition of consecutive interior angles. They are the pair of angles on one side of the transversal but inside the two lines. If we have two lines and a transversal, here are two consecutive angles. They fall on the same side of the transversal and inside the two lines. So, letβs consider our five options. A says angle π and angle π. In this case, the line highlighted in blue is the transversal, and π and π are on opposite sides of the transversal, which means theyβre not consecutive interior angles.

Option B is angle π and angle π. And again, these angles are on opposite sides of the transversal, which means theyβre not consecutive interior angles. Next up, we have angle π and angle π. Angle π and angle π have a different transversal. This time, the two angles are on one side of the transversal. Theyβre both above the transversal. But the consecutive interior angles would be angle π and angle π because they need to be inside the two lines. So, we can eliminate option C. Next, we have option D, which is angle π and angle π. These two angles are not on the same side of their transversal.

So, letβs check angle π and angle π. If we look at these angles, this is their transversal. Theyβre both on the same side of their transversal. And they are inside the two lines, which makes angle π and angle π consecutive interior angles. Itβs important to note here that there are many different pairs of consecutive interior angles in this figure. For example, if we let this be the transversal, π and β are consecutive interior angles and so are π and π. Weβve chosen π and π out of the given list, but as long as the pair of angles are on the same side of the transversal and inside the two lines, they are consecutive interior angles.