Working with equilateral pentagon

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Let ABCDE be an equilateral pentagon. If angle A is congruent to angle B then ABCDE is equiangular. I have tried finding congruent triangles but I cannot find any similarities. Any ideas?

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It's not true. Let $ABCE$ be a square, $CDE$ be an equilateral triangle. So, this pentagon is equilateral, $\angle A=\angle B $ , but not equiangular.