In the figure below of a parallel lines cut by a transversal, which angle is supplementary to 
?

Responses

∠1
∠1

∠3
∠3

∠4
∠4

∠5
∠5

None of the above

To determine which angle is supplementary to a given angle in a figure of parallel lines cut by a transversal, we first need to recall that supplementary angles are two angles whose sum is \(180^\circ\).

Since no specific angle is given in the question, I will assume you’re asking which angle is supplementary to the angle you're inquiring about. Typically, when parallel lines are cut by a transversal:

1. **Consecutive interior angles** are supplementary (they sum to \(180^\circ\)).
2. **Linear pairs** (angles that form a straight line) are also supplementary.

If you can clarify which angle you're referring to, I can tell you which angle is supplementary to it. For now, without knowing the exact figure, I can only provide general rules.

Would you like to provide more information about the figure, or clarify which angle you're asking about?

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**Further Exploration:**
1. What are alternate interior angles and how are they related in parallel lines?
2. How do corresponding angles behave in parallel lines cut by a transversal?
3. What are consecutive exterior angles in parallel lines cut by a transversal?
4. How do you calculate the angle measure given one angle and knowing they are supplementary?
5. What is the difference between complementary and supplementary angles?

**Tip:** In parallel lines cut by a transversal, alternate interior angles are equal, and consecutive interior angles are supplementary.

In the figure below of parallel lines cut by a transversal, which angle is supplementary to?

Learn how to determine which angles are supplementary in a figure involving parallel lines cut by a transversal. This problem covers key concepts like supplementary angles, consecutive interior angles, and linear pairs. Suitable for students in Grades 8-10.

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