As shown in the figure, △ Abe and △ ACF are equilateral triangles with AB and AC of △ ABC as sides respectively. CE and BF intersect at O (1) to prove: ∠ AEC = ∠ ABF. (2) to find the degree of ∠ BOE

It is proved that: (1) both ∵ Abe and ≌ ACF are equilateral triangles, ≌ AB = AE, AC = AF, and ∵ CAE = ∠ cab + 60 ≌ BAF = ∠ cab + 60 ≌ CAE = ∠ BAF ≌ AEC ≌ ABF, ≌ AEC = ∠ ABF; (2)

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