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# Is the measure of one of the interior angles of

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Manager
Joined: 14 Jan 2006
Posts: 88
Schools: HKUST
Is the measure of one of the interior angles of  [#permalink]

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06 Oct 2008, 09:53
1
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.

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Senior Manager
Joined: 04 Jan 2006
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Re: GMAT SET 18 - 1  [#permalink]

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06 Oct 2008, 11:15
nikhilpoddar 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.

Assume: angle a, b, c, and d

a + b + c + d = 360

(1) c + d = 180
a + b + 180 = 360
a + b = 180

Not enough information to conclude that one of the interior angles is 60. Insufficient.

(2) b = 2a
a + b + c + d = 360
a + 2a + c + d
3a + c + d = 360

Not enough information to conclude that one of the interior angles is 60. Insufficient.

(1) & (2)
c + d = 180
b = 2a
a + 2a + 180 = 360
3a = 360 - 180 = 180
a = 60

One of the interior angle is 60 degrees. Sufficient

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: GMAT SET 18 - 1 &nbs [#permalink] 06 Oct 2008, 11:15
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# Is the measure of one of the interior angles of

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