Question

1. (image of intersecting lines with angles labeled 89°)

Explanation:

Step1: Identify Line Relationship

Lines \( m \) and \( n \) are parallel (same direction, equidistant). Line \( \ell \) is a transversal.

Step2: Use Alternate Interior Angles

Alternate interior angles are equal. The \( 89^\circ \) angles confirm \( m \parallel n \) (alternate interior angles congruent implies parallel lines).

Answer:

Lines \( m \) and \( n \) are parallel (justification: alternate interior angles \( 89^\circ \) are equal, so by alternate interior angles theorem, \( m \parallel n \)).