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What is the measure of angle YQZ in the figure?

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What is the measure of angle YQZ in the figure? [#permalink]

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29 Jan 2013, 06:19
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90% (00:34) correct 10% (00:30) wrong based on 174 sessions

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What is the measure of angle YQZ in the figure?

(1) XQ bisects angle WQZ; YQ bisects angle XQZ.
(2) Angle WQX measures 50°.

I don't agree with OA. I think ans should be
[Reveal] Spoiler:
E
[Reveal] Spoiler: OA

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Last edited by Bunuel on 14 Oct 2014, 14:01, edited 2 times in total.
Edited the question and added the image.

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Re: What is the measure of angle YQZ in the figure? [#permalink]

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29 Jan 2013, 06:49
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Expert's post
mridulparashar1 wrote:
Attachment:
The attachment Figure.png is no longer available
What is the measure of angle YQZ in the figure?

(1) XQ bisects angle WQZ; YQ bisects angle XQZ.
(2) Angle WQX measures 50°.

I don't agree with OA.

I think ans should be
[Reveal] Spoiler:
E
.

Check the image below:
Attachment:

solution.png [ 6.03 KiB | Viewed 2175 times ]
Hope it helps.
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Re: What is the measure of angle YQZ in the figure? [#permalink]

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29 Jan 2013, 06:34

Statement 1: We know that WQX = XQZ and XQY = YQZ. But we don't have any values to manipulate. Not Sufficient
Statement 2: Not enough information to determine angle YQZ. Not Sufficienc.

Combined: Since WQX = 50, WQZ = 100. Since YQZ is a bisector of XQZ, and we know that XQZ = 50, we know that YQZ has to be 25 degrees as a bisector cuts the larger angle into two equal smaller angle.s

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Re: What is the measure of angle YQZ in the figure? [#permalink]

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14 Oct 2014, 13:16
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Re: What is the measure of angle YQZ in the figure?   [#permalink] 14 Oct 2014, 13:16
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