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DS - Geometry

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DS - Geometry [#permalink]

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New post 01 May 2009, 06:16
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I was completely lost on this problem. Please explain the emthod to solve. TIA
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Re: DS - Geometry [#permalink]

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New post 01 May 2009, 08:48
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The answer is D. The trick is to recognize that angle PRS + Angle PRQ = 180. Given

PRS + PRQ = 180 (Equation 1)
RPS + PRS = 90 (Equation 2)
PQR+ QPR + PRQ = 180 (Equation 3)

Question is asking PRS - PQR= ?

1) QPR = 30
PQR+30+PRQ=180 (equation 3)
PQR+PRQ=150
deduct from equation 1
PRS-PQR = 30 Sufficient

2) PQR +PRQ = 150
Subtract from equation 1
PRS - PQR = 30 Sufficient

Both are sufficient, hence D.

Kudos [?]: 52 [1], given: 0

Manager
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Posts: 213

Kudos [?]: 30 [0], given: 17

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Re: DS - Geometry [#permalink]

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New post 01 May 2009, 23:01
Accountant wrote:
The answer is D. The trick is to recognize that angle PRS + Angle PRQ = 180. Given



Thanks for the explanation

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Re: DS - Geometry [#permalink]

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New post 02 May 2009, 09:46
Statement 1 is sufficient by Exterior Angle Theorem (http://en.wikipedia.org/wiki/Exterior_angle_theorem)

Image


Statement is implying the Angle QPR = 30, from which point you can apply Exterior Angle theorem.

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Re: DS - Geometry [#permalink]

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New post 02 May 2009, 12:33
Accountant wrote:
The answer is D. The trick is to recognize that angle PRS + Angle PRQ = 180. Given

PRS + PRQ = 180 (Equation 1)
RPS + PRS = 90 (Equation 2)
PQR+ QPR + PRQ = 180 (Equation 3)

Question is asking PRS - PQR= ?

1) QPR = 30
PQR+30+PRQ=180 (equation 3)
PQR+PRQ=150
deduct from equation 1
PRS-PQR = 30 Sufficient

2) PQR +PRQ = 150
Subtract from equation 1
PRS - PQR = 30 Sufficient

Both are sufficient, hence D.


Could you explain why this equation is true: RPS + PRS = 90 (Equation 2)
Based on what?

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Re: DS - Geometry [#permalink]

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New post 02 May 2009, 13:11
Hi,
Good question! Just wondering about the source. where did you get it from?

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Re: DS - Geometry [#permalink]

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New post 02 May 2009, 13:14
goldeneagle94 wrote:
peraspera wrote:
Accountant wrote:
The answer is D. The trick is to recognize that angle PRS + Angle PRQ = 180. Given

PRS + PRQ = 180 (Equation 1)
RPS + PRS = 90 (Equation 2)
PQR+ QPR + PRQ = 180 (Equation 3)

Question is asking PRS - PQR= ?

1) QPR = 30
PQR+30+PRQ=180 (equation 3)
PQR+PRQ=150
deduct from equation 1
PRS-PQR = 30 Sufficient

2) PQR +PRQ = 150
Subtract from equation 1
PRS - PQR = 30 Sufficient

Both are sufficient, hence D.


Could you explain why this equation is true: RPS + PRS = 90 (Equation 2)
Based on what?


Because RSP = 90


Yes, I read it wrong. Of course.

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Re: DS - Geometry   [#permalink] 02 May 2009, 13:14
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