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天山 5-13

Q13:

Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

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.

Answer:C

我的答案是E 我考虑到有两个内角为90度的时候, 有2种情况,一个是另外两个内角中有一个是另外一个的2倍, 这样就有1个60度角了,但是如果一个90度角是另外那个角的2倍, 其他两个角的度数分别为45和135,这样就没有60度角了。 各位大虾如何看?

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