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To establish the relationship between angle 5 and angle 1 when a transversal intersects two parallel lines (M and N), we can analyze the positions of the angles:
1. **Angle 1** is located at the upper left intersection point of line M.
2. **Angle 5** is located at the upper left intersection point of line N.
Since lines M and N are parallel, and the transversal intersects them, the angles can be classified as follows:
- **Corresponding Angles**: These angles are in the same position relative to each line and the transversal. Angle 1 and angle 5 fall into this category, as they occupy corresponding positions at each intersection.
Thus, the relationship that can be established between angle 5 and angle 1 is that they are **corresponding angles**.