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The diagram shows a pair of parallel lines intersected by a transversal, creating several angles that are labeled with numbers 1 through 7. The question asks you to identify the angles that are congruent to angle 3.

### To determine the congruent angles:
1. **Alternate interior angles**: These are congruent when two parallel lines are crossed by a transversal. Angle 3 is congruent to angle 5 because they are alternate interior angles.
2. **Corresponding angles**: Angles in corresponding positions relative to the parallel lines and the transversal are congruent. Angle 3 corresponds to angle 7.
3. **Vertically opposite angles**: These angles are congruent. Angle 3 is vertically opposite angle 1, making them congruent.

### Conclusion:
The angles congruent to angle 3 are: **1, 5, 7**.

Would you like more details on the reasoning behind each step or any other related concepts?

Here are five related questions to explore further:
1. What are alternate exterior angles and how do they relate to this diagram?
2. How do we identify corresponding angles in diagrams with more than two parallel lines?
3. What is the relationship between adjacent angles in such transversal diagrams?
4. How can we prove that vertically opposite angles are always congruent?
5. How would the results change if the transversal was not intersecting parallel lines?

**Tip:** Always look for patterns like corresponding, alternate interior, and vertically opposite angles when working with transversals crossing parallel lines.

Identify all the numbered angles that are congruent to the given angle 3.

Explore how to identify congruent angles formed by a transversal intersecting parallel lines. Learn about alternate interior angles, corresponding angles, and vertically opposite angles, with a step-by-step explanation for angles 1, 5, and 7.

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