Question

Transversal intercepting two parallel lines, alternate interior angles:

a) ∠1 and ∠5
b) ∠2 and ∠6
c) ∠3 and ∠7
d) ∠4 and ∠8
e) ∠2 and ∠5

Answer 1

In the context of a transversal intersecting two parallel lines, the alternate interior angle pairs would be ∠2 and ∠6, as well as ∠4 and ∠8. Angles ∠1 and ∠5, ∠3 and ∠7, and ∠2 and ∠5 are not alternate interior angles.

Step-by-step explanation:

The question refers to the concept of alternate interior angles formed when a transversal intersects two parallel lines. Alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines. These angles are congruent (equal in measure) when the lines are parallel. Specifically, for the angles denoted in the question:

• Pair (a) ∠1 and ∠5 are not alternate interior angles.
• Pair (b) ∠2 and ∠6 are alternate interior angles.
• Pair (c) ∠3 and ∠7 are not alternate interior angles.
• Pair (d) ∠4 and ∠8 are alternate interior angles.
• Pair (e) ∠2 and ∠5 are not alternate interior angles.