GMAT考题：OG2017Q-DS-204

GMAT考题

In the figure shown, lines k and m are parallel to each other. Is x=z ?

(1) x=w

(2) y=180–w

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

毕出

题目分析：

（1）直线k和m平行，根据定理“两直线平行，内错角相等”可知w=z，又有x=w，所以x=z，条件1单独可以解题。

（2） y和x互为补角，因此y=180-x=180-w，所以，x=w，有因为w=z，所以x=z，条件2单独可以解题。

因此，本题答案为（D），任何一个条件说明均能解题。

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