Answer: 59
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Step-by-step explanation:
Angle ABD is composed of the smaller angles ABC and CBD
Let x be the measure of angle ABC.
(angleABC) + (angleCBD) = angle ABD
x+44 = 81
x = 81-44
x = 37
Angle ABC is 37 degrees.
Since angle CBD is bisected (i.e. cut in half) by segment BE, this means the smaller pieces CBE and EBD are each 44/2 = 22 degrees.
Therefore,
angle ABE = (angleABC)+(angleCBE)
angle ABE = 37 + 22
angle ABE = 59 degrees