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ABCABCABC is an isosceles triangle with AB=ACAB=ACAB=AC, ∠BAC=96∘ \angle BAC = 96 ^\circ∠BAC=96∘. DDD is a point such that ∠DCA=48∘ \angle DCA = 48 ^\circ∠DCA=48∘, AD=BCAD = BCAD=BC and angle DAC DACDAC is obtuse. What is the measure (in degrees) of ∠DAC \angle DAC∠DAC?
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