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° ?(1 point) ∠

Answer 1

Since the two intersecting lines create four angles, we can apply the properties of angles formed by intersecting lines. Specifically, vertically opposite angles are equal and adjacent angles are supplementary (add up to 180°).

Given that \( m∠2 = 110° \), we can identify the following:

• The angle opposite \( ∠2 \) is \( ∠4 \).
• Therefore, since they are vertically opposite angles, we have:

\[ m∠4 = m∠2 = 110° \]

Thus, the angle that also measures 110° is \( ∠4 \).