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What is the measurement of ∠y?

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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What is the measurement of ∠y?  [#permalink]

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New post 18 May 2016, 15:17
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (02:12) correct 14% (01:35) wrong based on 33 sessions

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What is the measurement of ∠y?
A. 60
B. 65
C. 70
D. 75
E. 80

*An answer will be posted in 2 days.

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Re: What is the measurement of ∠y?  [#permalink]

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New post 19 May 2016, 04:08
Angles of the top most triangle = 40, 180 - 2x, 180 - 2k
Sum of the angles of a triangle = 180

Therefore,

40 + 180 - 2x + 180 - 2k = 180
k + x = 110 - (i)

Coming to the lower triangle,
Sum of angles:
x + k + y = 180

From (i), we know that x + k = 110,
Hence y = 180 - 110 = 70

Correct Option: C
Math Revolution GMAT Instructor
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Re: What is the measurement of ∠y?  [#permalink]

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New post 22 May 2016, 16:27
From (180-2k)+(180-2x)+40=180, we get 220-2(x+k)=0, 2(x+k)=220, x+k=110. Since X+k+y=180, if we substitute, from 110+y=180, we know y=70. Hence, the correct answer is C.

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Re: What is the measurement of ∠y?   [#permalink] 22 May 2016, 16:27
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