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In figure, ΔABC is an equilateral triangle. Find m∠BEC.

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In figure, ΔABC is an equilateral triangle. Find m∠BEC.

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ΔABC is an equilateral triangle. (Given) 

Each angle of an equilateral triangle is 60 degrees. 

In quadrilateral ABEC: 

∠BAC + ∠BEC = 180° (Opposite angles of quadrilateral) 

60° + ∠BEC = 180° 

∠BEC = 180° – 60° 

∠BEC = 120°

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