Isosceles Triangle and a Peculiar Point D

Geometry Level 4

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

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