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In the triangle shown, what is the value x?

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In the triangle shown, what is the value x?  [#permalink]

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New post 10 Apr 2018, 06:42
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A
B
C
D
E

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  35% (medium)

Question Stats:

93% (00:28) correct 7% (00:17) wrong based on 29 sessions

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Re: In the triangle shown, what is the value x?  [#permalink]

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New post 10 Apr 2018, 06:48
I think C. If we know triangle is Isosceles then we know Z must be equal to Y. Without the value of either though, we cannot determine the angles of the triangle. For example Z and y could be 50 and X could be 80.

With criteria two we know that both Z and Y are 65. Since all angles of a triangle add to 180, 180-65-65=50 for the measure of X
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Re: In the triangle shown, what is the value x?  [#permalink]

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New post 10 Apr 2018, 06:54
(1) a=b
Implies triangle is isosceles,hence angle z = angle y
But,doesn't answer the value of x.
Hence,insufficient.

(2) y = 65
Does Not give any indication about angle z and x + y + z = 180.
Two unknown variables but only 1 equation.
Hence,insufficient.

(1) + (2)
y = z = 65
x + y + z = 180
Solving this we get x = 50. So,both of the statements are required.
Hence option (C)
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Re: In the triangle shown, what is the value x?  [#permalink]

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New post 10 Apr 2018, 08:54
Bunuel wrote:
Image

In the triangle shown, what is the value x?

(1) a = b
(2) y = 65

Attachment:
2018-04-10_1740.png



From 1: a=b
triangle is isosceles,hence z = y
But,no value of x.
Hence,insufficient.


From 2: y = 65
x + y + z = 180.
Two variables , 1 equation.
Hence,insufficient.

combining both
y = z = 65
x + y + z = 180
Solving this we get x = 50. So,both of the statements are required.
Hence option (C)
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Re: In the triangle shown, what is the value x?  [#permalink]

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New post 10 Apr 2018, 10:36
Bunuel wrote:
Image

In the triangle shown, what is the value x?

(1) a = b
(2) y = 65

Attachment:
2018-04-10_1740.png


(1) We know only a and b but nothing about x.

Not sufficient

(2) We know y = 65, but nothing about z to find out x.

Not sufficient.

Combining 1 and 2, we can find out x.

(C)
Re: In the triangle shown, what is the value x? &nbs [#permalink] 10 Apr 2018, 10:36
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