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Consider triangle DAE and DCA

DA=DC(sides of the rhombus are equal)

DE=DE(reflexive property)

AE=EC(diagonals of the rhombus bisect each other)

Therefore triangle DAE is congruent to triangle DCA(SSS congruency)

It implies angle DAC= angle DCA (CPCTC)

angle DCA=52 degree(answer)

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