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Master | Next Rank: 500 Posts
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by farooq » Tue Dec 15, 2009 9:52 am
Please explain.

A is sufficient to answer this question?
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Farooq Farooqui.
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by Brent@GMATPrepNow » Tue Dec 15, 2009 11:52 am
farooq wrote:Please explain.

A is sufficient to answer this question?
Two important facts about parallelograms:
- opposite angles (e.g., x and z) are equal
- adjacent angles (e.g., y and x, or y and x) add to 180

(1) Since y and x are adjacent angles, we know x+y=180, which means y=180-x
Now take statement one, y=2x and replace y with 180-x to get: 180-x = 2x
We can solve this for x, so statement (1) is SUFFICIENT

(2) Since z and x are oppposite angles, we know z=x.
So, if x+z=120, we know that x = z = 60
Statement (2) is SUFFICIENT
Brent Hanneson - Creator of GMATPrepNow.com
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Master | Next Rank: 500 Posts
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Joined: Sat Feb 28, 2009 8:51 amFollowed by: 3 members
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by farooq » Tue Dec 15, 2009 7:24 pm
Hi Brent,

Thanks a lot for your descriptive reply. While solving this problem, I missed to consider fact 2. Test taker really love to design such question.
Two important facts about parallelograms:
- opposite angles (e.g., x and z) are equal
- adjacent angles (e.g., y and x, or y and x) add to 180
Regards,
Farooq Farooqui.
London. UK

It is your Attitude, not your Aptitude, that determines your Altitude.
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