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

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
In the figure above, BP = CP. If x = 120, then y =  [#permalink]

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09 Aug 2017, 04:36
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Difficulty:

25% (medium)

Question Stats:

100% (00:55) correct 0% (00:00) wrong based on 22 sessions

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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

Attachment:

2017-08-09_1258_001.png [ 6.33 KiB | Viewed 625 times ]

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Intern
Joined: 17 Jul 2017
Posts: 19
Re: In the figure above, BP = CP. If x = 120, then y =  [#permalink]

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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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09 Aug 2017, 08:53

$$\angle BCP + \angle DCP = 180$$
$$\angle BCP = 60$$

BP=CP -->$$\angle BCP = \angle CBP = 60$$
$$\angle BCP + \angle CBP + y = 180$$
$$\therefore y =60$$ (Choice B)
Re: In the figure above, BP = CP. If x = 120, then y =   [#permalink] 09 Aug 2017, 08:53
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