Question

1. use the figure to decide the type of angle pair that describes \\( \angle 1 \\) and \\( \angle 4 \\). same - side exterior angles alternate interior angles same - side interior angles corresponding angles

Explanation:

Same - side interior angles are two angles that are on the same side of the transversal and between the two lines. Alternate interior angles are two angles that are on opposite sides of the transversal and between the two lines. Corresponding angles are in the same relative position. Same - side exterior angles are on the same side of the transversal and outside the two lines.
For \(\angle1\) and \(\angle4\), they are on the same side of the transversal and between the two lines, which is the definition of same - side interior angles.

Answer:

same - side interior angles