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19 Jul 2017, 03:00
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C
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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 3997 times ]
19 Jul 2017, 03:56
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Bunuel
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.
19 Jul 2017, 07:47
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Bunuel
Angle CAE = Angle BAD
x + y = Angle CAE
z + y = Angle BAD
x + y = z + y, subtract y from both
x = z
Answer C
