Bunuel

What is the area of the parallelogram ABCD?
(1) The sum of Angle C and Angle B is 180°
(2) The shortest possible distance from point A to line segment DC is 10.
The following are just "conceptual considerations", not a new solution to this problem.
As mentioned in a previous post, two consecutive internal angles of ANY parallelogram are always supplements (i.e., their sum is 180 degrees).
In other words, statement (1) adds NOTHING to the question stem (pre-statements) and, because of that, we are sure (1) is INSUFFICIENT (= no need for an explicit bifurcation).
The rationale above DOES take into account an important implicit rule of ANY Data Sufficiency, the following:
In any Data Sufficiency problem,
the question stem pre-statements is ALWAYS not enough to answer the focus (=question asked) in a unique way.
I hope these considerations are useful.
Regards,
fskilnik.