To determine whether the angles \( m∠A = 37° \) and \( m∠B = 143° \) can be supplementary, we need to check if their sum equals \( 180° \).
Calculating the sum: \[ m∠A + m∠B = 37° + 143° = 180° \]
Since the sum of the angles is \( 180° \), we can conclude that they are supplementary angles.
The correct reasoning is: Yes, they are a supplementary pair.