Vertical angles are pairs of angles that are opposite each other when two lines intersect. They are equal in measure.
Given the angles:
- \( m\angle 1 = 32^\circ \)
- \( m\angle 2 = 148^\circ \)
- \( m\angle 3 = 32^\circ \)
- \( m\angle 4 = 148^\circ \)
The angle that is vertical to \( \angle 2 \) (which measures \( 148^\circ \)) is \( \angle 4 \) because they are opposite each other at the vertex. Thus, the vertical angle to \( \angle 2 \) is:
\( \angle 4 \).