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In the figure above, the measure of angle CAE is equal to the measure

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In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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New post 19 Jul 2017, 03:00
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (00:41) correct 10% (01:07) wrong based on 52 sessions

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

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New post 19 Jul 2017, 03:56
Bunuel wrote:
Image
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.
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In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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New post 19 Jul 2017, 07:47
Bunuel wrote:
Image
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

Angle CAE = Angle BAD

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

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

x = z

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

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New post 19 Jul 2017, 09:25
Bunuel wrote:
Image
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


Given, CAE = BAD
Hence x + y = y + z

Therefore x = z

Correct Option: C
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Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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New post 19 Jul 2017, 22:53
Angle BAD = Angle CAE

x + y = Z + y

x = z
ans C
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Re: In the figure above, the measure of angle CAE is equal to the measure  [#permalink]

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New post 25 Jul 2017, 10:52
Bunuel wrote:
Image
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

Answer: C
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Re: In the figure above, the measure of angle CAE is equal to the measure   [#permalink] 25 Jul 2017, 10:52
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