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Geometry math question no Guessing and Please show work thank you

Geometry math question no Guessing and Please show work thank you-example-1

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m\angle DCA=m\angle BCA\ \text{therefore:}\\\\4x=6x-58\ \ \ \ |-6x\\\\-2x=-58\ \ \ |:(-2)\\\\x=29\\\\m\angle DCA=(4x)^o\to m\angle DCA=(4\cdot29)^o=116^o

Answer: C. 116

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