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:
- Angle 1 is located at the upper left intersection point of line M.
- 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.