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The question is asking to find angles \( x \) and \( y \), based on the provided diagram where the angles \( \angle x \) and \( \angle y \) are part of a transversal cutting through two parallel lines.

### Given Information:
- Parallel lines are given as \( l \parallel m \), and a transversal is intersecting these parallel lines.
- \( \angle x \) and \( \angle y \) are the unknown angles.
- \( \angle b = 110^\circ \) and \( \angle d = 70^\circ \) are marked in the diagram.
  
#### Steps to Solve:
1. **Identify relationships using parallel lines:**
   - Since lines \( l \) and \( m \) are parallel, angles formed by the transversal have certain relationships like corresponding angles, alternate interior angles, and consecutive interior angles.

2. **Find \( x \):**
   - \( \angle x \) and \( \angle b = 110^\circ \) form a linear pair on a straight line, which means they are supplementary.
   - \( x + 110^\circ = 180^\circ \)
   - \( x = 180^\circ - 110^\circ = 70^\circ \)

3. **Find \( y \):**
   - \( \angle y \) and \( \angle d = 70^\circ \) are corresponding angles since they are on the same side of the transversal.
   - By the corresponding angles postulate: \( y = 70^\circ \).

### Final Answer:
- \( x = 70^\circ \)
- \( y = 70^\circ \)

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

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Here are 5 related questions:
1. How do we identify corresponding angles in parallel lines?
2. What is the relationship between alternate interior angles in parallel lines?
3. Why are angles on a straight line supplementary?
4. How do we prove that two lines are parallel using angle relationships?
5. Can transversal lines create vertical angles, and how do we calculate those?

**Tip:** Always look for patterns like alternate or corresponding angles when dealing with parallel lines and transversals.

Find x and y, given that l is parallel to m, and all angles are given.

This problem involves finding the unknown angles x and y in a diagram where two parallel lines are cut by a transversal. The solution utilizes concepts like supplementary angles and the corresponding angles postulate, suitable for students in Grades 7-9.

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