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 \( \angle DAC\)?


Inspiration.

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