In this case, when two parallel lines are cut by a transversal, several types of angle relationships are formed, including corresponding angles, alternate interior angles, and consecutive interior angles. Based on the fact that ∠2 is 40°, we can infer the value of ∠8 by determining their angle relationship.

First, note that ∠2 and ∠8 are corresponding angles. Corresponding angles are equal when two parallel lines are intersected by a transversal. Therefore:

• The measure of ∠8 is 40°
• because ∠2 and ∠8 are corresponding angles.

Would you like more details on this or any further questions? Here are some related questions:

1. What are alternate interior angles in this context?
2. What is the sum of interior angles on the same side of a transversal?
3. How can you identify corresponding angles in various transversal setups?
4. What other angle relationships arise from parallel lines and a transversal?
5. Can you apply this concept to non-parallel lines?

Tip: Corresponding angles formed by parallel lines and a transversal are always equal.