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The diagram shows two parallel lines crossed by a transversal, forming eight angles. The given angle is \(43^\circ\), labeled as angle 3.

To identify all the angles congruent to this angle, we can use the following properties:

1. **Corresponding Angles**: Angles in the same relative position at each intersection of the transversal and the parallel lines are congruent. Angle 3 corresponds to angle 7.
   
2. **Vertical Angles**: Angles directly opposite each other when two lines intersect are congruent. Angle 3 is vertically opposite to angle 1.
   
3. **Alternate Interior Angles**: Angles on opposite sides of the transversal but inside the two parallel lines are congruent. Angle 3 is alternate interior to angle 5.

Thus, the angles congruent to angle 3 are:

- Angle 1 (vertical angles)
- Angle 5 (alternate interior angles)
- Angle 7 (corresponding angles)

Let me know if you'd like further explanation or have any questions!

Here are 5 related questions for practice:
1. Which angles are congruent to angle 2?
2. What are the alternate exterior angles in this diagram?
3. Which angle corresponds to angle 6?
4. What are the properties of vertical angles?
5. How do you identify supplementary angles in a transversal setup?

**Tip**: Always check for corresponding, alternate interior, and vertical angles when working with parallel lines and transversals.

Identify all the numbered angles that are congruent to the given angle.

Learn how to identify congruent angles when parallel lines are crossed by a transversal. This problem covers key geometry concepts such as corresponding angles, vertical angles, and alternate interior angles. Suitable for students in Grades 7-9.

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