Two intersecting lines create four angles, numbered 1, 2, 3, and 4, where ∠4 is adjacent to ∠1 and ∠3, and m∠2=110°. Which other angle has a measure that is also equal to 110°?
Since ∠2 and ∠3 are adjacent angles formed by the same two intersecting lines, they are supplementary angles. Therefore, the measure of ∠3 is 180° - 110° = <<180-110=70>>70°. Similarly, since ∠2 and ∠1 are adjacent angles formed by the same two intersecting lines, they are supplementary angles. Therefore, the measure of ∠1 is 180° - 110° = <<180-110=70>>70°. Thus, the other angle with a measure of 110° is ∠4. Answer: \boxed{4}.
