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

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Director
Joined: 29 Nov 2012
Posts: 878
If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 02:30
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15% (low)

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66% (01:31) correct 34% (00:23) wrong based on 90 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, 03:54, edited 1 time in total.
Edited the question.
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Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 02:35
1
KUDOS
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
Director
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Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 02:49
I understand that but 2x+y = 180 and then we get option E...
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Posts: 39662
Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 04:01
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) $$\frac{180 - x}{2}$$

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.

As for your other question: it's not correct.
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Director
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Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 05:25
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]

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08 Sep 2013, 05:28
fozzzy wrote:
Could you elaborate on consecutive angles what does that mean?

The angles which are not opposite are consecutive.
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Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 05:37
So to clarify the uploaded image below ( has circles are consecutive angles)
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image modified.png [ 3.52 KiB | Viewed 1498 times ]

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Math Expert
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Posts: 39662
Re: If the figure above is a parallelogram, what is the value of [#permalink]

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08 Sep 2013, 05:39
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Expert's post
fozzzy wrote:
So to clarify the uploaded image below ( has circles are consecutive angles)

Yes, those angles are consecutive.
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Re: If the figure above is a parallelogram, what is the value of [#permalink]

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10 Sep 2013, 22:44
@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, 22:44
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