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Easy DS triangle - Can't get my head around

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Source: — Data Sufficiency |
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by parallel_chase » Mon Oct 13, 2008 12:51 pm
refer this

https://www.beatthegmat.com/angles-gprep-t14992.html
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by Saffa » Mon Oct 13, 2008 1:01 pm
I don't understand your explanation. With S = 90, "Therefore the remaining two angles can be 60, 30." Why would the other two angles be 30 and 60 and not any combination of numbers where the sum wil be 90 (ie. 45, 45 or 5, 85)?
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by parallel_chase » Mon Oct 13, 2008 1:24 pm
Here is the process:

question stem : PRS - PQR = ?

Statement I
QPR = 30
QPR + PQR + PRQ = 180
PQR + PRQ = 180-30 = 150

PRQ = 150 - PQR

PRS + PRQ = 180 [ANGLES FORMED IN STRAIGHT LINE]

PRS + 150 - PQR = 180

PRS - PQR = 180-150 = 30

Sufficient.


Statement II

PQR + PRQ = 150

PRQ = 150-PQR

PRS + PRQ = 180 [ANGLES FORMED IN STRAIGHT LINE]

PRS + 150-PQR = 180

PRS - PQR = 180 -150 = 30

Sufficient.

Hence D.

My earlier explanation seems bit off track, dont know what I was thinking. :roll:

Hope this explanation helps.
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