In triangle \(ABC\) above, is \(AC\) greater than \(4?\)

[Gmat_mission]

In triangle \(ABC\) above, is \(AC\) greater than \(4?\)

(1) \(BC = 4\)
(2) \(y = 40\)

Answer: A

Source: Princeton Review

[psarma]

\(\angle bac\) + \(\angle abc\) = \(\angle bcd\)
Thus, \(\angle abc\) = 2y i.e 2 \(\angle bac\)

Option 1 gives the length of side BC, which is 4
As \(\angle abc\) = 2 \(\angle bac\) , hence the side opposite \(\angle abc\) should be greater than side opposite \(\angle bac\) .

A is thus sufficient.

Option 2 doesnt give the length of any side or any other useful information, Not sufficient.

Answer is A.