Using the definition of angles on a straight line, the measure of angle BEC is: 62°.
What are Angles on a Straight Line?
Angles that lie on a straight line add up to 180 degrees.
Thus, given that EB bisects ∠AEC, therefore:
m∠BEC = 1/2(180 - m∠CED)
Plug in the values
m∠BEC = 1/2(180 - 56)
m∠BEC = 1/2(124)
m∠BEC = 62°
Thus, using the definition of angles on a straight line, the measure of angle BEC is: 62°.
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