Vertical angles are pairs of angles that are opposite each other when two lines intersect. In your case, you have the following angles:
- m∠1 = 32°
- m∠2 = 148°
- m∠3 = 32°
- m∠4 = 148°
The vertical angle to ∠2 (which measures 148°) would be the angle that is opposite it. In this case, that would be ∠4, since both ∠2 and ∠4 measure 148° and are opposite each other.
Therefore, the angle that is a vertical angle with ∠2 is ∠4.
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