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Is the measure of one of the interior angles of

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Is the measure of one of the interior angles of [#permalink] New post 07 Aug 2006, 09:32
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A
B
C
D
E

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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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 [#permalink] New post 07 Aug 2006, 11:17
I'd say E

st 1, not suf since the other 2 angles is =180 but no relation between those 2

st2, not suf since it does not state which of the angles has a relation 1:2
If it were one of 90 degrees it'd not be sufficient , otherwise it'd be fine if this relation would be the other 2 not right triangles
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 [#permalink] New post 07 Aug 2006, 11:41
i would go for E as well

combining the 2 also does not get us an ans
if we combing the 2 we have foll options
1.
x+2x+180 = 360
3x = 180
x = 60
2x = 120
Ans = YES

2.
90+ 90+ 45 + x = 180
Ans:NO

3. x = 90 . 2x = 180 --> Not a valid quadilateral
so we cannot deduce for sure....

Go for E
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 [#permalink] New post 08 Aug 2006, 02:38
E.

1) 90,90,110,70 many possiblities like these. Not suff

2) 60 120 110 70 etc ....... Not suff

Together

90,90,45,135 and 90,90,60,120 hence not suff either.
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 [#permalink] New post 08 Aug 2006, 03:05
jaynayak, please note that 45 IS NOT EQUAL to 2 but 3 times of 135.
SO it should be C
  [#permalink] 08 Aug 2006, 03:05
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