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  3. The following data sufficiency problems consist of a question and two stateme

The following data sufficiency problems consist of a question and two stateme

游客2025-02-27  19
问题    The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   Ｄ. EACH statement ALONE is sufficient.
   Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient. [br] In isosceles triangle ABC, what is the value of ∠C?
   (1) The measure of ∠B is 47°
   (2) The measure of ∠A is 90°
选项
答案 B
解析 alone is insufficient, because ∠C could be the matching angle of the isosceles triangle with ∠B at 47°, or it could match with ∠A at 66.5°, or it could be the nonmatching angle at 96°. (2) alone is sufficient, because if ∠A is 96°, then it cannot be one of the matching angles of the isosceles triangle because two 96° angles cannot fit in a triangle, so ∠C must be one of two 47° angles.
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