Answer :

Given,

AB divides DAC in the ratio 1: 3


DAB: BAC = 1: 3


DAC + EAC = 180o


DAC + 108o = 180o


DAC = 180o – 108o


= 72o


DAB = * 72o = 18o


BAC = * 72o = 54o


In


DAB + ADB + ABD = 180o


18o + 18o + ABD = 180o


36o + ABD = 180o


ABD = 180o – 36o


= 144o


ABD + ABC = 180o (Linear pair)


144o + ABC = 180o


ABC = 180o – 144o


= 36o


In


BAC + ABC + ACB = 180o


54o + 36o + x = 180o


90o + x = 180o


x = 180o – 90o


= 90o


Thus, x = 90o


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