Answer:
[tex]\text{B. }43^{\circ}[/tex]
Step-by-step explanation:
Angles [tex]\angle AED[/tex] and [tex]\angle AEB[/tex] are supplementary, meaning they add up to 180 degrees, because they form one side of a line.
Thus, we have:
[tex]\angle AED+\angle AEB=180,\\137+\angle AEB=180,\\\angle AEB=\boxed{43^{\circ}}[/tex]
