91Ó°ÊÓ

Theorem 3-2 states when a separate line travels through two lines which are having a parallel relation between them at that time the angles which are positioned on alternate interior side represents the congruent angles.

The angles $∠3$and $∠6$are positioned on the transversal but these angles are having the opposite sides along with this these angles are representing the non adjacent interior angles. So according to the definition of alternate interior angles which states that angles are alternate interior angles when they are positioned on the transversal but these angles are having the opposite sides along with this these angles are representing the non adjacent interior angles the angles are alternate interior angles.

Also the angles $∠4$and $∠5$having the same properties of angles $∠3$and $∠6$which means that these angles are also alternate interior angles.

Label the provided diagram.

According to the figure the lines l and m are having a parallel connection and a separate line p is travelling through them so according to the theorem 3-2 $∠3â‰\dots ∠6$and $∠4â‰\dots ∠5$.