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# In the triangle shown, what is the value x?

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Math Expert
Joined: 02 Sep 2009
Posts: 56306
In the triangle shown, what is the value x?  [#permalink]

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10 Apr 2018, 06:42
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Difficulty:

25% (medium)

Question Stats:

92% (00:33) correct 8% (00:17) wrong based on 31 sessions

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In the triangle shown, what is the value x?

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

Attachment:

2018-04-10_1740.png [ 5.61 KiB | Viewed 517 times ]

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Joined: 28 Mar 2018
Posts: 45
Re: In the triangle shown, what is the value x?  [#permalink]

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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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Joined: 26 May 2017
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Re: In the triangle shown, what is the value x?  [#permalink]

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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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Joined: 05 Feb 2016
Posts: 169
Location: India
Concentration: General Management, Marketing
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Re: In the triangle shown, what is the value x?  [#permalink]

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10 Apr 2018, 08:54
Bunuel wrote:

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)
Manager
Joined: 20 Aug 2015
Posts: 94
Location: India
GMAT 1: 710 Q50 V36
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Re: In the triangle shown, what is the value x?  [#permalink]

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10 Apr 2018, 10:36
Bunuel wrote:

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?   [#permalink] 10 Apr 2018, 10:36
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