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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In the figure above, the measure of angle CAE is equal to the measure

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Math Expert V
Joined: 02 Sep 2009
Posts: 61470
In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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Difficulty:   15% (low)

Question Stats: 85% (00:44) correct 15% (01:15) wrong based on 56 sessions

### HideShow timer Statistics In the figure above, the measure of angle CAE is equal to the measure of angle BAD. Which of the following must be true?

(A) x = y
(B) y = z
(C) x = z
(D) x = y = z
(E) none of the above

Attachment: 2017-07-19_1358.png [ 9.87 KiB | Viewed 2111 times ]

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Manager  P
Joined: 14 Oct 2015
Posts: 237
GPA: 3.57
Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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Bunuel wrote: In the figure above, the measure of angle CAE is equal to the measure of angle BAD. Which of the following must be true?

(A) x = y
(B) y = z
(C) x = z
(D) x = y = z
(E) none of the above

Attachment:
2017-07-19_1358.png

It should be C.

A - Only true if AD bisects CAE and we do not know that from the figure.
B - Only true if AC bisects BAD and we do not know that.
C - True
D - Uncertain for the same reasons as A and B.
E - NA.
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3708
In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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Bunuel wrote: In the figure above, the measure of angle CAE is equal to the measure of angle BAD. Which of the following must be true?

(A) x = y
(B) y = z
(C) x = z
(D) x = y = z
(E) none of the above

Attachment:
2017-07-19_1358.png

x + y = Angle CAE
z + y = Angle BAD

x + y = z + y, subtract y from both

x = z

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SVP  B
Joined: 06 Nov 2014
Posts: 1867
Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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Bunuel wrote: In the figure above, the measure of angle CAE is equal to the measure of angle BAD. Which of the following must be true?

(A) x = y
(B) y = z
(C) x = z
(D) x = y = z
(E) none of the above

Attachment:
2017-07-19_1358.png

Hence x + y = y + z

Therefore x = z

Correct Option: C
Senior Manager  S
Joined: 21 Mar 2016
Posts: 494
Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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x + y = Z + y

x = z
ans C
Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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Bunuel wrote: In the figure above, the measure of angle CAE is equal to the measure of angle BAD. Which of the following must be true?

(A) x = y
(B) y = z
(C) x = z
(D) x = y = z
(E) none of the above

Since angle CAE = angle BAD:

y + x = z + y

x = z

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: In the figure above, the measure of angle CAE is equal to the measure   [#permalink] 25 Jul 2017, 09:52
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