Look at the two figures given below.

Though the angle ABC > BCD, the diagonals can be greater or smaller based on any situation.

....A......................B

.....____________

.....\......................\

.......\......................\

.........\......................\

...........\.___________\

............D......................C

and

...............A.....................B

.............._____________

--........../.........................\

.........../............................\

........../...............................\

........./________________\

........D.................................C

Insufficient.

From statement (2), if its a rhombus, then the answer is different (unknown) and if its a square, the answer is known (no).

Insufficient.

Combine them, and the first figure goes, and so the answer can be provided.

Hence (C).

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