91Ó°ÊÓ

Postulate 10 states when a separate line travels through two lines which are having a parallel relation between them at that time the angles which are corresponding angles represents the congruent angles.

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 $∠8$and $∠2$are positioned on the transversal $\stackrel{¯}{EB}$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.

The angles $∠7$and $∠4$are having the same properties like $∠8$and $∠2$but the transversal is $\stackrel{¯}{DB}$so the angles are alternate interior angles.

The above information and theorem 3-2 represents that $∠8â‰\dots ∠2$and $∠4â‰\dots ∠7$.

According to the figure the limit of corresponding angles is reached due to which other corresponding angles cannot be determined.