Trent draws two parallel lines, p and q. He intersects them with transversal t and measures ∠2 to be 40°.

Choose the correct answer from the drop-down menus to complete the statement.

The measure of ∠8 is (Select)  because ∠2 and ∠8 are (Select)

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.

Trent draws two parallel lines, p and q. He intersects them with transversal t and measures ∠2 to be 40°. Choose the correct answer from the drop-down menus to complete the statement. The measure of ∠8 is (Select) because ∠2 and ∠8 are (Select).

Learn how to determine the measure of angles formed by two parallel lines and a transversal. In this example, the measure of ∠2 is 40°, and using the Corresponding Angles Postulate, ∠8 is also 40°. This problem is ideal for students in Grades 6-8.

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