484,551 views
25 votes
25 votes
OMG okay I basically need only 7 more questions then I'm good to go and finally go study my other exams for tonight, everyone helping, ty ty. Without this help I would of been stressing hard. Tqm

OMG okay I basically need only 7 more questions then I'm good to go and finally go-example-1
User Brian Demers
by
2.9k points

1 Answer

26 votes
26 votes

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