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Manager
Joined: 21 Sep 2006
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21 Sep 2007, 22:11
00:00

Difficulty:

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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CEO
Joined: 29 Mar 2007
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22 Sep 2007, 01:46
Hang Tuah wrote:

I am interested in the approach to this problem as well. I had this on my GMATPrep and answered E...
Director
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22 Sep 2007, 02:54
Hang Tuah wrote:

I'm getting C.

Made the diag and for simplicity marked angle UST as Z, angle RSQ as Y, angle RQS as L, angle SQP as M, angle SUT as A and angle SUP as B.

Whew!!

Now:

x+y+z = 180
(y+z) = 180 - x ...............1

stat 1 : Y = L; doesn't help me. Insuff.

stat 2: Z = A; doesn't help me. insuff.

Stat 1 & 2: Y = L and Z = A

L + M = 180
Since L = Y, Y + M = 180, M = 180 - Y .............. 2

A+B = 180
Since A = Z, Z + B = 180, B = 180 - Z ..............3

Further in quad. PQSU, x + M + angle QPU + B = 360

x = 270 - (M + B)
x = 270 - (180 - Y + 180 - Z) ........ (from 2 & 3)
x = 270 - [360 - (Y + Z)]
x = 270 - [360 - (180 - x)] .........(from 1)
x= 270 - [180 - x] = 90 - x
x = 45 degrees

Hopefully that is right

Whats the OA?
Senior Manager
Joined: 27 Aug 2007
Posts: 253
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22 Sep 2007, 09:17
GK_Gmat wrote:
Hang Tuah wrote:

I'm getting C.

Made the diag and for simplicity marked angle UST as Z, angle RSQ as Y, angle RQS as L, angle SQP as M, angle SUT as A and angle SUP as B.

Whew!!

Now:

x+y+z = 180
(y+z) = 180 - x ...............1

stat 1 : Y = L; doesn't help me. Insuff.

stat 2: Z = A; doesn't help me. insuff.

Stat 1 & 2: Y = L and Z = A

L + M = 180
Since L = Y, Y + M = 180, M = 180 - Y .............. 2

A+B = 180
Since A = Z, Z + B = 180, B = 180 - Z ..............3

Further in quad. PQSU, x + M + angle QPU + B = 360

x = 270 - (M + B)
x = 270 - (180 - Y + 180 - Z) ........ (from 2 & 3)
x = 270 - [360 - (Y + Z)]
x = 270 - [360 - (180 - x)] .........(from 1)
x= 270 - [180 - x] = 90 - x
x = 45 degrees

Hopefully that is right

Whats the OA?

I had this question on GMATPrep, and I got C, as far as I remember it was correct answer.
VP
Joined: 09 Jul 2007
Posts: 1102
Location: London
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22 Sep 2007, 16:57
one more time firm C

long steps to post but very simple
22 Sep 2007, 16:57
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