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i made a guess on this one. it was intuitive to me how to do

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FN
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i made a guess on this one. it was intuitive to me how to do [#permalink] New post   31 May 2008, 13:30
i made a guess on this one. it was intuitive to me how to do it..



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Re: i made a guess on this one. it was intuitive to me how to do [#permalink] New post   31 May 2008, 13:43
Hi
I could try to explain this one
Let the angle PTR=a------ (!)
so,PRT=(90-a)right?-------(1)
Now,in triangle RQS
since QR=RS
This means angle RQS=angleRSQ right?-------(2)
sum of angles of a triangle=180
Using (1)and (2) RSQ=RQS=(180-(90-a))/2 =(90+a)/2 ------(3)
Similarly for triangle UST
UTS=PTR=a (from(!))
The other two angles of this triange would be (180-a)/2-----(4)

Using 3 and 4 and property of a straight line(sum=180)
(90+a)/2 + x + (180-a)/2 = 180
x=45 degrees

Hope that helps.
I wanted todraw a figure and show you. But I couldnt
Apologies !

Cheers !!
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zeenie
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Re: i made a guess on this one. it was intuitive to me how to do [#permalink] New post   31 May 2008, 13:44
zeenie wrote:
Hi
I could try to explain this one
Let the angle PTR=a------ (!)
so,PRT=(90-a)right?-------(1)
Now,in triangle RQS
since QR=RS
This means angle RQS=angleRSQ right?-------(2)
sum of angles of a triangle=180
Using (1)and (2) RSQ=RQS=(180-(90-a))/2 =(90+a)/2 ------(3)
Similarly for triangle UST
UTS=PTR=a (from(!))
The other two angles of this triange would be (180-a)/2-----(4)

Using 3 and 4 and property of a straight line(sum=180)
(90+a)/2 + x + (180-a)/2 = 180
x=45 degrees

Hope that helps.
I wanted todraw a figure and show you. But I couldnt
Apologies !

Cheers !!


I forgot to mention.The above solution is reached after using both A and B
Hence (C)is the answer :)
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FN
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Joined: 28 Dec 2004
Posts: 1581
Own Kudos [?]: 642 [0]
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Location: New York City
Concentration: Social Enterprise
Schools:Wharton'11 HBS'12
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Re: i made a guess on this one. it was intuitive to me how to do [#permalink] New post   01 Jun 2008, 07:30
zeenie wrote:
zeenie wrote:
Hi
I could try to explain this one
Let the angle PTR=a------ (!)
so,PRT=(90-a)right?-------(1)
Now,in triangle RQS
since QR=RS
This means angle RQS=angleRSQ right?-------(2)
sum of angles of a triangle=180
Using (1)and (2) RSQ=RQS=(180-(90-a))/2 =(90+a)/2 ------(3)
Similarly for triangle UST
UTS=PTR=a (from(!))
The other two angles of this triange would be (180-a)/2-----(4)

Using 3 and 4 and property of a straight line(sum=180)
(90+a)/2 + x + (180-a)/2 = 180
x=45 degrees

Hope that helps.
I wanted todraw a figure and show you. But I couldnt
Apologies !

Cheers !!


I forgot to mention.The above solution is reached after using both A and B
Hence (C)is the answer :)



Yeah OA is C..

i didnt workout the whole thing but realized that with the 2 statements i could figure out x..



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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gmatclubot
Re: i made a guess on this one. it was intuitive to me how to do [#permalink]
01 Jun 2008, 07:30
Moderator:
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