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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]

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New post 27 Jun 2018, 21:22
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (00:37) correct 19% (00:31) wrong based on 69 sessions

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Re: What is the value of y in the figure above?  [#permalink]

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New post 27 Jun 2018, 21:43

Solution



To find:
    • The value of y in the given figure

Approach and Working:
From the bigger triangle, we can write
    • 25° + 45° + (x° + x°) = 180°
    Or, 2x° = 180° - 70°
    Or, x° = 55°

Now, from the bottom triangle (where y° is an angle), we can write
    • 25° + x° + y° = 180°
    Or, y° = 180° - (25° + 55°)
    Or, y° = 180° - 80°
    Or, y° = 100°

Hence, the correct answer is option D.

Answer: D
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Re: What is the value of y in the figure above?  [#permalink]

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New post 28 Jun 2018, 06:38
Bunuel wrote:
Image
What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Attachment:
triangle.jpg

(1) Use the large triangle to find \(x\)
\(x + x + 25 +45=180\)
\(2x=110\)
\(x=55\)

(2) Find \(y\) from left small triangle. \(x=55\)
\(y + 25 +55=180\)
\(y+80=180\)
\(y=100\)

Answer
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Re: What is the value of y in the figure above?  [#permalink]

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New post 29 Jun 2018, 03:34
1
Bunuel can you please add the OA?

It should be D :-)
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Re: What is the value of y in the figure above?  [#permalink]

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New post 29 Jun 2018, 03:38
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Re: What is the value of y in the figure above?  [#permalink]

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New post 29 Jun 2018, 04:53
1
Bunuel wrote:
Image
What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Attachment:
triangle.jpg
We can do this question in two ways..
1.As others did
2.Time saving ...We have angle x common
45 is 20 greater than 25...so 180-y must b 20 greater than y
(180-y)-y=20 or y=100
Let me know if u get it !

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Re: What is the value of y in the figure above?  [#permalink]

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New post 29 Jun 2018, 07:45
1
BeastSachin wrote:
Bunuel wrote:
Image
What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Attachment:
triangle.jpg
We can do this question in two ways..
1.As others did
2.Time saving ...We have angle x common
45 is 20 greater than 25...so 180-y must b 20 greater than y
(180-y)-y=20 or y=100
Let me know if u get it !

Sent from my Redmi Note 4 using GMAT Club Forum mobile app
Let me crrct myself its not 180-y greater than y...it's y is greater than 180-y

So y-(180-y)=20
Y=100

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Re: What is the value of y in the figure above?  [#permalink]

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New post 02 Jul 2018, 09:37
Bunuel wrote:
Image
What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Attachment:
triangle.jpg



We can create the following equations:

25 + y + x = 180

And

45 + x + 180 - y = 180

45 + x - y = 0

Adding the equations together we have:

70 + 2x = 180

2x = 110

x = 55

Since 45 + x = y, y = 100.

Alternate Solution:

The large triangle’s angle measures sum to 180 degrees. Thus, we have:

25 + 45 + 2x = 180

2x = 110

x = 55

The bottom left triangle’s angle measures sum to 180:

25 + 55 + y = 180

80 + y = 180

y = 100

Answer: D
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Re: What is the value of y in the figure above?  [#permalink]

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New post 02 Jul 2018, 12:08
Bunuel wrote:
Image
What is the value of y in the figure above?

(A) 70

(B) 80

(C) 90

(D) 100

(E) 110


Attachment:
triangle.jpg


\(25 + 45 + 2x = 180\)

Or, \(2x = 110\)

So, \(x = 55\)

Hence the value of \(y = 180 - ( 25 + 55 )\)

Or, \(y = 100\) , Answer must be (D)
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Re: What is the value of y in the figure above? &nbs [#permalink] 02 Jul 2018, 12:08
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