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18 Sep 2018, 22:03
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
24% (02:02) correct
76%
(01:55)
wrong
based on 53
sessions
History
Date
Time
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Not Attempted Yet
Line segments AB and CD intersect segment EF at points X and Y, respectively. What is the measure of angle AXF?
(1) Angle CYF is 120°.
(2) Angle AXY is 30°.
(1) Angle CYF is 120°.
(2) Angle AXY is 30°.
19 Sep 2018, 09:27
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Bunuel
Answer will be " B"
Refer attached picture:
From statement 1: Given Angle CYF is 120°, with this we cannot find angle AXF as it is not mentioned whether line AB & CD is parallel or not. Hence insufficient.
From statement 2: Angle AXY is 30°. From the attached picture, angle AXY=angle AXF=30 degree. So sufficient.
Hence answer is "B"
Please advice.
Attachments
IMG_20180919_215433.jpg [ 321.26 KiB | Viewed 1988 times ]
19 Sep 2018, 19:19
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Bunuel
\(? = \angle AXF\)
Without loss of generality we may assume line segment EF is contained in a horizontal line.
We went immediately to (1+2), because our GEOMETRIC BIFURCATION proves the right answer is (E).
Please see image attached, in which we have two different numerical values for our FOCUS:
> Angle AXF may be equal to 30 degrees.
> Angle AXF may be equal to 150 degrees (the supplement of 30 degrees).
This solution follows the notations and rationale taught in the GMATH method.
Regards,
fskilnik.
Attachments
19Set18_2z.gif [ 18.78 KiB | Viewed 1960 times ]
