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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°.

Learn more about angles on a straight line on:

https://brainly.com/question/24024505

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