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Quadrilateral WXYZ is inscribed in the circle above. What is the measu

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Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 06 Jun 2017, 10:11
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Quadrilateral WXYZ is inscribed in the circle above. What is the measure of angle XYZ?

(1) Angle XWZ measures 93 degrees.

(2) Angle YXW measures 106 degrees.

Attachment:
QuadrilateralWXYZ.png
QuadrilateralWXYZ.png [ 12.76 KiB | Viewed 2576 times ]

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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 06 Jun 2017, 23:00
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Bunuel wrote:
Quadrilateral WXYZ is inscribed in the circle above. What is the measure of angle XYZ?

(1) Angle XWZ measures 93 degrees.

(2) Angle YXW measures 106 degrees.


Bunuel is this question supposed to be without figure or is it just missing by mistake???

Looks like like figure should have been attached.
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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 07 Jun 2017, 06:08
GMATinsight wrote:
Bunuel wrote:
Quadrilateral WXYZ is inscribed in the circle above. What is the measure of angle XYZ?

(1) Angle XWZ measures 93 degrees.

(2) Angle YXW measures 106 degrees.


Bunuel is this question supposed to be without figure or is it just missing by mistake???

Looks like like figure should have been attached.


You are right, figure was missing. Edited. Thank you for noticing.
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Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 07 Jun 2017, 06:28
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I believe the answer is A.

With the inscribed angle theorem (?) we know that XWZ covers 186 degrees (2*93). Because XYZ covers the area opposite of XWZ, the measure is (360-186)/2 = 87.

B by itself does not give us this information since the angles overlap

Also this question feels like a 700 level. Either way it's a good one

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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 07 Jun 2017, 06:29
Bunuel wrote:
Image
Quadrilateral WXYZ is inscribed in the circle above. What is the measure of angle XYZ?

(1) Angle XWZ measures 93 degrees.

(2) Angle YXW measures 106 degrees.

Attachment:
QuadrilateralWXYZ.png


In a cyclic Quadrilateral, sum of diagonally opposite angles = 180

Statement 1: XWZ=93
Then, XYZ= 180-93= 87
Sufficient

Statement 2: YXW= 106
This angle has no relation with XYZ hence
Not sufficient

Answer Option A
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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 07 Jun 2017, 10:06
Imo A
Cyclic quadrilateral have Opposite angle are supplementary

Angle xyz+angle xwz =180

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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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New post 08 Jun 2017, 09:03
in a cycle quadrilateral sum of opposite sides is 180.

stat1: suff

stat2: not suff

ans A
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Re: Quadrilateral WXYZ is inscribed in the circle above. What is the measu  [#permalink]

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