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If the figure above is a parallelogram, what is the value of

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If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 01:30
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A
B
C
D
E

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66% (01:30) correct 34% (00:20) wrong based on 53 sessions
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If the figure above is a parallelogram, what is the value of y in terms of x?

A) \frac{x}{2}
B) 2x
C) 90-X
D) 180 - \frac{x}{2}
E) \frac{180 - x}{2}

[Reveal] Spoiler:
What's wrong with E?
[Reveal] Spoiler: OA

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Last edited by Bunuel on 08 Sep 2013, 02:54, edited 1 time in total.
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 01:35
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fozzzy wrote:
If the figure above is a parallelogram, what is the value of y in terms of x?

A)\frac{x}{2}
B) 2x
C) 90-X
D) 180 - \frac{x}{2}
E) \frac{180 - x}{2}

[Reveal] Spoiler:
What's wrong with E?


In a parallelogram,opposite angles are equal and adjacent angles are supplementary

Hence 2y=x
y=x/2
Option A is the ans
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 01:49
I understand that but 2x+y = 180 and then we get option E...
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 03:01
Expert's post
fozzzy wrote:
Image
If the figure above is a parallelogram, what is the value of y in terms of x?

A) \frac{x}{2}
B) 2x
C) 90-X
D) 180 - \frac{x}{2}
E) \frac{180 - x}{2}

What's wrong with E?


fozzzy wrote:
I understand that but 2x+y = 180 and then we get option E...


• Opposite angles of a parallelogram are equal in measure.
• Consecutive angles are supplementary, add to 180°.

For more check here: math-polygons-87336.html

According to the first property x=2y --> y=x/2.

Answer: A.

As for your other question: it's not correct.
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 04:25
Could you elaborate on consecutive angles what does that mean?
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 04:28
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 04:37
So to clarify the uploaded image below ( has circles are consecutive angles)
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 08 Sep 2013, 04:39
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Re: If the figure above is a parallelogram, what is the value of [#permalink] New post 10 Sep 2013, 21:44
@fozzy just for clearity...
opposite angles of a cyclic (contained in a circle ) quadrilateral sum up to 180.
A parallelogram drawn inside a circle becomes rectangle.
Re: If the figure above is a parallelogram, what is the value of   [#permalink] 10 Sep 2013, 21:44
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