[img]2022m10x/ct_ve01204002j_egmatqchoose_0006_221020[/img]In the figure above,

游客2025-02-27 27

问题

In the figure above, what is the value of x?
(1)∠ABD equals 40°
(2)BD=CD

选项 A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(2)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

答案 C

解析题干中，(1)中说∠ABD=40°，但是图中没有必要把∠ABD就画成40度；(2)中说BD=CD，但是图中没有必要说画的时候让BD和CD相等。单独1，∠ABD=40°无法解决问题；单独2，BD=CD，只能够得到∠ACB=x°，也无法得到x的值；把1和2结合起来考虑，得到：60+40+2x=180，那么显然能够求得x的值；所以选择C。

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