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In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30

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In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 24 Jun 2017, 08:44
1
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:47) correct 18% (00:48) wrong based on 69 sessions

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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 24 Jun 2017, 10:14
Bunuel wrote:
Image
In ∆ABC to the right, what is the value of y?

(1) AB = AC
(2) x = 30


Attachment:
2017-06-24_1943.png



(1) ∆ABC can be isosceles or equilateral
not suff

(2) y can be any thing < 150
insuff

combining ∆ABC is isosceles with x =30 & y=z
as y+z =150
y=75

Ans C
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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 24 Jun 2017, 10:40
We should not do the mistake of assuming that this is a right angled triangle, even if it looks like one.

Answer can only be found by combining both the statements, as explained above by rohit8865
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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 26 Jun 2017, 14:26
In ∆ABC to the right, what is the value of y?

(1) AB = AC

Means this is Isosceles Triangle

2y + x = 180

However, in order to determine value for y we need to know at least x or z angle.

Hence, (1) is =====> NOT SUFFICIENT

(2) x = 30

This gives us value of x, however, we cannot determine the value of y and z based on this

Hence, (2) is =====> NOT SUFFICIENT

Now, lets combine (1) & (2)

x = 30

2y + x = 180

2y + 30 = 180

2y = 150

y = 75

Hence, Answer is C
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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 25 Jul 2017, 11:05
Can someone please clarify the statement "In ∆ABC to the right"? Is it same as triangle ABC is right angle triangle?
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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30  [#permalink]

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New post 26 Jul 2017, 20:03
goalMBA1990 wrote:
Can someone please clarify the statement "In ∆ABC to the right"? Is it same as triangle ABC is right angle triangle?


No. Nowhere it is mentioned that triangle ABC is a right angled triangle.

Tri ABC to the right simply means that the Figure in the problem is at the right hand side.
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Re: In ∆ABC to the right, what is the value of y? (1) AB = AC (2) x = 30   [#permalink] 26 Jul 2017, 20:03
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