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# If y = 2x, what is the value of z?

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
If y = 2x, what is the value of z?  [#permalink]

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24 Aug 2018, 02:51
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Difficulty:

5% (low)

Question Stats:

96% (01:16) correct 4% (03:13) wrong based on 35 sessions

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Note: Figure not drawn to scale.

If y = 2x, what is the value of z?

A. 90
B. 110
C. 120
D. 165
E. 240

Attachment:

image019.jpg [ 3.32 KiB | Viewed 442 times ]

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Re: If y = 2x, what is the value of z?  [#permalink]

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24 Aug 2018, 02:58
Bunuel wrote:

Note: Figure not drawn to scale.

If y = 2x, what is the value of z?

A. 90
B. 110
C. 120
D. 165
E. 240

Attachment:
image019.jpg

x = 50.

y = 2x = 2*50 = 100

Let label the unknown angle.

a + 60 = 180

a = 120.

Now,

x + 2y + a + z = 360

50 + 100 + 120 + z = 360

z = 90.

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Re: If y = 2x, what is the value of z?  [#permalink]

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24 Aug 2018, 03:04
1
Bunuel wrote:

Note: Figure not drawn to scale.

If y = 2x, what is the value of z?

A. 90
B. 110
C. 120
D. 165
E. 240

Attachment:
image019.jpg

x=50°
y=2x=100°
Let the 4th angle be w
w=180-60=120°
Since the four sides form a quadrilateral and sum of internal angles of a quadrilateral = 360°
z = 360°-(50°+100°+120°) = 90°
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Re: If y = 2x, what is the value of z?   [#permalink] 24 Aug 2018, 03:04
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