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Segments PA, PB, and PC are the angle bisectors of

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Segments PA, PB, and PC are the angle bisectors of [#permalink] New post 10 Jun 2018, 08:46
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Question Stats:

67% (01:14) correct 32% (01:49) wrong based on 31 sessions
Attachment:
#GREpracticequestion Segments PA, PB, and PC.jpg
#GREpracticequestion Segments PA, PB, and PC.jpg [ 12.49 KiB | Viewed 1220 times ]


Segments PA, PB, and PC are the angle bisectors of \(\Delta ABC\)

Quantity A
Quantity B
x+y
57


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: Segments PA, PB, and PC are the angle bisectors of [#permalink] New post 11 Jun 2018, 11:09
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Carcass wrote:
Attachment:
triangle.jpg


Segments PA, PB, and PC are the angle bisectors of \(\Delta ABC\)

Quantity A
Quantity B
x+y
57


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.


Given info about angular bisector then cuts the angle into half exactly.

Total angle 2x+2y+66 = 180
x+y = 57.

Column A and B are same.

C.
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Re: Segments PA, PB, and PC are the angle bisectors of [#permalink] New post 19 Jan 2019, 14:23
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Re: Segments PA, PB, and PC are the angle bisectors of [#permalink] New post 06 May 2020, 10:28
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Carcass wrote:
Attachment:
#GREpracticequestion Segments PA, PB, and PC.jpg


Segments PA, PB, and PC are the angle bisectors of \(\Delta ABC\)

Quantity A
Quantity B
x+y
57


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.




We are given the information that we have bisectors, which leads us to the conclusion that angle B will be 66.

Now knowing that we also know that angles A+c=180-66= 114

To make our lives easier we imagine that A and C are the same angles.

We then divide 114/4= 28,5, since both are bisected

and then we multiply it two, since we have two quarters

Leading us to 57.

Hence the result is C
Re: Segments PA, PB, and PC are the angle bisectors of   [#permalink] 06 May 2020, 10:28
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Segments PA, PB, and PC are the angle bisectors of

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