# In the given figu

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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