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In the figure above, what is the measure of angle x?

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In the figure above, what is the measure of angle x?  [#permalink]

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New post 11 Sep 2018, 01:07
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

69% (00:48) correct 31% (01:01) wrong based on 13 sessions

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Re: In the figure above, what is the measure of angle x?  [#permalink]

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New post 11 Sep 2018, 01:24
To find 'x', we need to know the relation with other angles;
Option 1: Y=50; This tells us that Z=130, and using exterior angle theorem, we can deduce that X+opp angle in smaller triangle = 130; however, cannot determine exact value of X - Insufficient.
Option 2: X+Y+Z=240; we know Y+Z=180, thus X=60; Sufficient
Therefore, Answer B
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Re: In the figure above, what is the measure of angle x?  [#permalink]

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New post 11 Sep 2018, 06:00
Bunuel wrote:
Image
In the figure above, what is the measure of angle x?

(1) y = 50
(2) 240 = x + y + z


Attachment:
image023.gif


From the figure we can see that Y+Z=180.
Statement 1: y = 50
we can not calculate x as there are still 2 unknowns in the smaller triangle.
Insufficient.

Statement 2: 240 = x + y + z
We already Know that y+z=180
hence We can calculate x. No need of actual calculation.
Sufficient.

Answer: B
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Re: In the figure above, what is the measure of angle x? &nbs [#permalink] 11 Sep 2018, 06:00
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In the figure above, what is the measure of angle x?

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