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In the figure above, BP = CP. If x = 120, then y =

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In the figure above, BP = CP. If x = 120, then y = [#permalink]

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New post 09 Aug 2017, 04:36
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A
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In the figure above, BP = CP. If x = 120, then y =

(A) 30
(B) 60
(C) 75
(D) 90
(E) 120

[Reveal] Spoiler:
Attachment:
2017-08-09_1258_001.png
2017-08-09_1258_001.png [ 6.33 KiB | Viewed 276 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 128932 [0], given: 12183

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Re: In the figure above, BP = CP. If x = 120, then y = [#permalink]

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New post 09 Aug 2017, 05:54
If BP=CP mean that BPC is an isoscles triangle
Given, x=120
X+(angle BCP) = 180(Straight line)
Angle BCP = 180-120
=60
For isoscles triangle (angle BCP) =(Angle CBP)
(angle CBP) =60
Total angle in a triangle =180
So, angle y = 60

Correct option B

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Re: In the figure above, BP = CP. If x = 120, then y = [#permalink]

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New post 09 Aug 2017, 08:53
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\(\angle BCP + \angle DCP = 180\)
\(\angle BCP = 60\)

BP=CP -->\(\angle BCP = \angle CBP = 60\)
\(\angle BCP + \angle CBP + y = 180\)
\(\therefore y =60\) (Choice B)

Kudos [?]: 38 [0], given: 29

Re: In the figure above, BP = CP. If x = 120, then y =   [#permalink] 09 Aug 2017, 08:53
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In the figure above, BP = CP. If x = 120, then y =

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