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<DAC=? AB = AC , <BAC = 96^o, <ACD = 48^o, AD=BC

Source: 2019 Dürer Math Competition Finals Day2 E15 https://artofproblemsolving.com/community/c1621835_2019_

January 5, 2022
geometryanglesisosceles

Problem Statement

ABCABC is an isosceles triangle such that AB=ACAB = AC and ∠BAC=96o\angle BAC = 96^o. DD is the point for which ∠ACD=48o\angle ACD = 48^o, AD=BCAD = BC and triangle DACDAC is obtuse-angled. Find ∠DAC\angle DAC.
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