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 ∠4 are adjacent angles, they are supplementary angles and add up to 180°, so m∠4=180°−110°=<<180-110=70>>70° .

Since ∠4 and ∠1 are adjacent angles, they are supplementary angles and add up to 180°, so m∠1=180°−70°=<<180-70=110>>110° . Answer: \boxed{110}.

it was four

Apologies for the mistake.

If ∠2 has a measure of 110°, and ∠2 and ∠4 are vertical angles, then ∠4 also has a measure of 110°. Another angle with a measure of 110° is ∠1 since it is adjacent to ∠4. Hence, the other angle with a measure of 110° is ∠1.