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

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Founder
Joined: 18 Apr 2015
Posts: 13304
Followers: 286

Kudos [?]: 3366 [0], given: 12159

Segments PA, PB, and PC are the angle bisectors of [#permalink]  10 Jun 2018, 08:46
Expert's post
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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 [ 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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Active Member
Joined: 29 May 2018
Posts: 126
Followers: 0

Kudos [?]: 108 [1] , given: 4

Re: Segments PA, PB, and PC are the angle bisectors of [#permalink]  11 Jun 2018, 11:09
1
KUDOS
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.
Director
Joined: 09 Nov 2018
Posts: 505
Followers: 0

Kudos [?]: 55 [0], given: 1

Re: Segments PA, PB, and PC are the angle bisectors of [#permalink]  19 Jan 2019, 14:23
Tricky
Manager
Joined: 01 Jan 2020
Posts: 112
Concentration: Marketing
Schools: Copenhagen Business School - Class of 2022
Followers: 0

Kudos [?]: 57 [2] , given: 46

Re: Segments PA, PB, and PC are the angle bisectors of [#permalink]  06 May 2020, 10:28
2
KUDOS
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

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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