The diagram show two triangles with common side AB,AC=x
and BD=y
C^=30
and D^=60
ABx=...
To find the value of AB in terms of x, we can use the law of sines.
In triangle ABC, we have sin(C) = AC/AB
sin(30) = x/AB
1/2 = x/AB
AB = 2x
Therefore, AB = 2x.