Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.
What is the Inscribed Angle Theorem?
The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.
∠BCD and ∠BED are subtended by the same arc BD.
Therefore, based on the inscribed angle theorem, we have:
m∠BCD = m∠BED = 57°.
m∠BED = 57°
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