How would you all go about solving this? At first I thought that the larger ABC triangle was 30-60-90, but I am not sure about this. Thanks!
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Angle BDC = Angle BCD = 2x
=> Triangle BDC is isosceles
=> BD = BC --------------(1)
In a triangle, exterior angle is equal to the sum of interior angles.
So, Angle BDC = Angle Angle ABD + Angle BAD
=> 2x = Angle ABD + x
=> Angle ABD = x
=> Triangle ABD is isosceles
=> AD = BD --------------(1)
From (1) and (2)
AD = BD = BC ------------(3)
Q. What is BC?
Statement 1
AD = 6
=> BC = 6 (From 3)
Sufficient.
Statement 2
x=36.
This itself is insufficient as AD can take any value without disturbing the angle.
Insufficient.
Answer A
