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# What is the value of y in the figure above?

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Math Expert
Joined: 02 Sep 2009
Posts: 51258
What is the value of y in the figure above?  [#permalink]

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27 Jun 2018, 20:22
00:00

Difficulty:

15% (low)

Question Stats:

86% (00:52) correct 14% (00:51) wrong based on 71 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

Attachment:

triangle.jpg [ 9.91 KiB | Viewed 693 times ]

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

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27 Jun 2018, 20:43

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.

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

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28 Jun 2018, 05:38
Bunuel wrote:

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. $$x=55$$
$$y + 25 +55=180$$
$$y+80=180$$
$$y=100$$

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

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29 Jun 2018, 02:34
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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29 Jun 2018, 02:38
Masterscorp wrote:
Bunuel can you please add the OA?

It should be D

_______________
Done. Thank you.
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Re: What is the value of y in the figure above?  [#permalink]

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29 Jun 2018, 03:53
1
Bunuel wrote:

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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Joined: 14 Jun 2018
Posts: 4
Re: What is the value of y in the figure above?  [#permalink]

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29 Jun 2018, 06:45
1
BeastSachin wrote:
Bunuel wrote:

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

Sent from my Redmi Note 4 using GMAT Club Forum mobile app
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Re: What is the value of y in the figure above?  [#permalink]

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02 Jul 2018, 08:37
Bunuel wrote:

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

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

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02 Jul 2018, 11:08
Bunuel wrote:

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, 11:08
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# What is the value of y in the figure above?

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