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# Is the measure of one of the interior angles of

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Manager
Joined: 02 Sep 2008
Posts: 103
Is the measure of one of the interior angles of [#permalink]

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17 Mar 2009, 21:16
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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.

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Director
Joined: 14 Aug 2007
Posts: 704

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17 Mar 2009, 22:16
milind1979 wrote:
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.

1) or 2 alone are insufficient for obvious reason (giving us information only 2 out of 4 angles and telling nothing about other 2 angles)

together,
though it is possible to have an quadrilateral with 90,90,60,120 satisfying the condition
quadrilateral with 90,90,45,135 also satisfies the given condition.
so not suff

E.
Intern
Joined: 16 Mar 2009
Posts: 26

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17 Mar 2009, 22:48
E sounds correct
What is the OA ?
Manager
Joined: 02 Mar 2009
Posts: 129

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17 Mar 2009, 22:56
I concur.

E it is.

For the first one we the other two angles can be of any combo.
For the second one, the angles are next to each other. so that confused me. But having thought about it, I think the 4 angles can fulfill the requirement without any angle being 60.

Together, there can be two possibilities that alpha mentioned.

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Re: DS + Geometry   [#permalink] 17 Mar 2009, 22:56
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