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What is the value of y in the figure above?

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What is the value of y in the figure above? [#permalink] New post 13 May 2018, 10:14
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99% (00:53) correct 0% (00:00) wrong based on 17 sessions
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What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110
[Reveal] Spoiler: OA

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Re: What is the value of y in the figure above? [#permalink] New post 04 Jul 2018, 08:19
Carcass wrote:

What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Here,

Let us consider the △ABC,

∠CAB = 25° , ∠ACB = 45°

Therefore ∠ABC = 180° - 70° = 110°

Since

∠ABC = ∠CBR = ∠ABR = ∠x° = 110°/2 = 55°

Now in △ABR

∠y° = 180° - (25° + 55°) = 100°
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Re: What is the value of y in the figure above?   [#permalink] 04 Jul 2018, 08:19
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