Angle Chasing Will Not Help You Here

Geometry Level 5

In a triangle ABCABC A=84,\angle A =84^\circ, C=78.\angle C=78^\circ. Points DD and EE are taken on the sides ABAB and BC,BC, so that ACD=48,\angle ACD =48^\circ, CAE=63.\angle CAE =63^\circ. What is the measure (in degrees) of CDE\angle CDE ?

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