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# In the figure above, the measure of angle QPS is equal to the measure

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Math Expert
Joined: 02 Sep 2009
Posts: 46991
In the figure above, the measure of angle QPS is equal to the measure [#permalink]

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05 Feb 2018, 06:49
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Difficulty:

25% (medium)

Question Stats:

74% (00:51) correct 26% (01:04) wrong based on 46 sessions

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In the figure above, the measure of angle QPS is equal to the measure of angle TPR. Which of the following must be true?

(A) x = y

(B) y = z

(C) x = z

(D) x =y = z

(E) x + y = z

Attachment:

2018-02-05_1747.png [ 13.19 KiB | Viewed 635 times ]

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Re: In the figure above, the measure of angle QPS is equal to the measure [#permalink]

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09 Feb 2018, 23:29
Ans is C

It is given that x+y = Y+z

so x=z
since all angles are positive
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Re: In the figure above, the measure of angle QPS is equal to the measure [#permalink]

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12 Feb 2018, 12:52
1
Bunuel wrote:

In the figure above, the measure of ZQPS is equal to the measure of ZTPR. Which of the following must be true?

(A) x = y

(B) y = z

(C) x = z

(D) x =y = z

(E) x + y = z

Attachment:
2018-02-05_1747.png

Bunuel , I cannot make sense of the "Z," especially in ZQPS.

Is "Z" supposed to be this symbol: ∠ ?

If not, I have never seen "Z" used this way. What exactly does it mean?
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Math Expert
Joined: 02 Sep 2009
Posts: 46991
Re: In the figure above, the measure of angle QPS is equal to the measure [#permalink]

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12 Feb 2018, 21:25
1
generis wrote:
Bunuel wrote:

In the figure above, the measure of ZQPS is equal to the measure of ZTPR. Which of the following must be true?

(A) x = y

(B) y = z

(C) x = z

(D) x =y = z

(E) x + y = z

Attachment:
2018-02-05_1747.png

Bunuel , I cannot make sense of the "Z," especially in ZQPS.

Is "Z" supposed to be this symbol: ∠ ?

If not, I have never seen "Z" used this way. What exactly does it mean?

Copy/paste issue. It should have been "angle". Edited. Thank you.
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Re: In the figure above, the measure of angle QPS is equal to the measure   [#permalink] 12 Feb 2018, 21:25
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