Answer :

Let the ratio be y

DAB = y


DAC = 3y


y + 3y + 108° = 180° [Angle on a straight line]


4y = 72°


y = 18°


DAC = 3y = 54°


ABD = 18° [ AD = DB, ΔABD is an isosceles triangle]


In ΔABC,


x + A + B = 180° [Sum of all angles of a triangle = 180°]


x = 180° - 72° - 18°


x = 90°


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