https://file.aiquickdraw.com/mathbot/file/1726513038349jjyj53ej.jpg

In this image, the problem asks for the vertical angle corresponding to angle 4, in a diagram of two parallel lines cut by a transversal.

Vertical angles are pairs of opposite angles formed when two lines intersect. They are congruent (equal in measure).

In the diagram, angle 4 and angle 2 are vertical angles since they are opposite each other where the transversal intersects the parallel line.

Therefore, the vertical angle to angle 4 is **Angle 2**.

Would you like more details on this or have any further questions?

Here are 5 related questions for further exploration:
1. What are the alternate interior angles to angle 4?
2. What is the relationship between angles 3 and 5?
3. Which angles are corresponding to angle 6?
4. How can you prove that angle 1 is equal to angle 5?
5. What is the sum of the interior angles on the same side of the transversal?

**Tip**: Remember that vertical angles are always congruent because they are opposite each other at the point of intersection!

Given the two parallel lines cut by a transversal, what is the vertical angle to angle 4?

Learn how to identify the vertical angle to angle 4 when two parallel lines are cut by a transversal. This problem uses key concepts from geometry, including vertical angles and their congruence. Suitable for students in Grades 7-9.

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