# Isosceles Triangle And Peculiar Point Reloaded

Geometry Level 4

$$ABC$$ is an isosceles triangle with $$AB=AC$$, $$\angle BAC = 96 ^\circ$$. $$D$$ is a point such that $$\angle ACD = 48 ^\circ$$, $$AD = BC$$ and angle $$DAC$$ is obtuse. What is the measure (in degrees) of $$\angle DAC$$?

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