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Segment QS bisects PQR and segment RS bisects PRQ

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Segment QS bisects PQR and segment RS bisects PRQ [#permalink] New post 06 Jul 2018, 09:15
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Question Stats:

83% (01:07) correct 16% (00:27) wrong based on 18 sessions
Attachment:
triangle.jpg
triangle.jpg [ 22.24 KiB | Viewed 625 times ]


Segment \(QS\) bisects \(\angle PQR\) and segment \(RS\) bisects \(\angle PRQ\)

Quantity A
Quantity B
\(x\)
\(y\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Segment QS bisects PQR and segment RS bisects PRQ [#permalink] New post 06 Jul 2018, 18:25
Carcass wrote:
Attachment:
triangle.jpg


Segment \(QS\) bisects \(\angle PQR\) and segment \(RS\) bisects \(\angle PRQ\)

Quantity A
Quantity B
\(x\)
\(y\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Since we have two bisector QS and RS,

so in the △ PQR,

80° + ∠2x° + ∠2y° = 180°

or x° + y° = 50°

Now we cannot assume either x° or y° is greater.

Hence option D
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Re: Segment QS bisects PQR and segment RS bisects PRQ   [#permalink] 06 Jul 2018, 18:25
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Segment QS bisects PQR and segment RS bisects PRQ

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