Easy DS triangle - Can't get my head around
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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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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.
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.
No rest for the Wicked....