Question

what is $m\angle 1$?
$m\angle 1 = \square^{\circ}$

Explanation:

Step1: Identify Parallel Lines and Transversal

The two horizontal lines are parallel, and the slanted line is a transversal. The angle above with measure \(45^\circ\) and \(\angle 1\) are corresponding angles (or alternate interior angles, depending on perspective), so they should be equal.

Step2: Determine \(m\angle 1\)

Since the angle given above (with the \(45^\circ\) measure) and \(\angle 1\) are equal due to the parallel lines and transversal (corresponding angles are equal), \(m\angle 1 = 45^\circ\).

Answer:

\(45\)