When two lines intersect, they create pairs of opposite (vertical) angles that are equal in measure. Given that \( m∠2 = 110° \), the angle opposite to \( ∠2 \), which is \( ∠4 \), also has a measure of \( 110° \).
So, the other angle that has a measure equal to \( 110° \) is \( ∠4 \).