求证一道GWD数学题

eliasfan · 发表于 2011-1-11 11:02:11

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:
The answer is E
but I think the answer is C
For the sum of interior angles is 360
From (1) we know Two of the interior angles is 90
From(2) we know one interior angle is X ,the other is 2X
So total 90+90+X+2X=360 ,and X =60

jamie2010 · 发表于 2011-1-11 13:51:23

c 吧我也觉得是C

eliasfan · 发表于 2011-1-11 14:41:15

近来做GWD的题总感觉很是别扭，总有几道题和答案对不上，经过查证，部分是自己理解题意错误，而部分确实是答案有些小误差，是前者还好，弄清楚了豁然开朗，是后者就特别纠结

求证一道GWD数学题

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