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01 Aug 2017, 05:05
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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:
35%
(medium)
Question Stats:
59% (00:42) correct
41%
(00:49)
wrong
based on 128
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In the above figure, if L1 is parallel to L2, what is the value of x in terms of a?
(A) 180 – a
(B) 180 + a
(C) 270 – a
(D) 360 + a
(E) 360 – a
Attachment:
2017-08-01_1351.png [ 3.85 KiB | Viewed 8653 times ]
06 Aug 2017, 12:38
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Bunuel
Shorter answer: Angles around a point always sum to 360°
x + a = 360
x = 360 - a
Answer E
Longer answer: Extend L2 to the right.
L1 and L2 are parallel lines (given) cut by a traversal. Alternate interior angle measures are equal.
Where L2 and the transversal meet (a point around which there are 360°) there is an alternate interior angle that = a:
\(_{L2}\)________a/
And x is the measure of the portion of the 360° that does not include a, i.e., all the degrees below L2 and to the right of the transversal:
\(_{L2}\)_________/\(_{x}\)
x + a = 360
x = 360 - a
Answer E
15 Jan 2020, 19:53
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Bunuel
Bunuel
I have a tendency not to disagree with questions but in this case I really can't figure out the exact position of "x". It can literally be anywhere on the plane.
Can you confirm?
