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

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Math Expert
Joined: 02 Sep 2009
Posts: 52432
What is the value of x in the figure above?  [#permalink]

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21 Sep 2018, 00:21
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:56) correct 13% (00:36) wrong based on 32 sessions

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What is the value of x in the figure above?

(A) 5
(B) 10
(C) 18
(D) 30
(E) 54

Attachment:

Capture (3).JPG [ 22.65 KiB | Viewed 435 times ]

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

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21 Sep 2018, 00:30
Bunuel wrote:

What is the value of x in the figure above?

(A) 5
(B) 10
(C) 18
(D) 30
(E) 54

Attachment:
Capture (3).JPG

y = 3x as triangle is isosceles triangle

ALso, 3x+5y = 180 (Linear pair)

i.e. 3x+5(3x) = 180

i.e. 18x =180

i.e. x = 10

Answet: Option B
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Re: What is the value of x in the figure above?  [#permalink]

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21 Sep 2018, 00:45
Bunuel wrote:

What is the value of x in the figure above?

(A) 5
(B) 10
(C) 18
(D) 30
(E) 54

Attachment:
Capture (3).JPG

In this Triangle , y = 3x as both legs are equal their angle must be equal.

So, y = 3x.

5y = 15x.

we know that straight line has 180 degree angle.

15x + 3x = 180

18x = 180

x = 10.

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

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22 Sep 2018, 02:58

Solution

To find:
• The value of x

Approach and Working:
• As the triangle is isosceles, y = 3x.

Also, we can say 3x + 5y = 108
• Or, 3x + 5 (3x) = 180
• Or, 3x + 15x = 180
• Or, 18x = 180
• Or, x = 10

Hence, the correct answer is option B.

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Re: What is the value of x in the figure above? &nbs [#permalink] 22 Sep 2018, 02:58
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# What is the value of x in the figure above?

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