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AccipiterQ
GMAT 2: 730 Q49 V41
Posts: 144
Updated on: 21 Oct 2013, 08:50
Originally posted by AccipiterQ on 21 Oct 2013, 08:15.
Last edited by Bunuel on 21 Oct 2013, 08:50, edited 1 time in total.
Last edited by Bunuel on 21 Oct 2013, 08:50, edited 1 time in total.
Edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:55) correct
19%
(02:08)
wrong
based on 319
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
crisscross.jpg [ 34.28 KiB | Viewed 13065 times ]
A) 30
B) 50
C) 55
D) 65
E) 90
AccipiterQ
21 Oct 2013, 08:35
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here's my question:
I solved it by taking 2a+5a+5=180, and solving for a, and then taking 2b-10+4b+10=180, and solving for b. I end up with b=30, and a=25.
But I also thought, since the angles 2a and 2b-10 are opposite, they have to add to 180, yes? so why doesnt 2a+2b-10=180 also yield the correct answer; in this case you would get:
2a+2b-10=180
2a+2b=190
a+b=95
I solved it by taking 2a+5a+5=180, and solving for a, and then taking 2b-10+4b+10=180, and solving for b. I end up with b=30, and a=25.
But I also thought, since the angles 2a and 2b-10 are opposite, they have to add to 180, yes? so why doesnt 2a+2b-10=180 also yield the correct answer; in this case you would get:
2a+2b-10=180
2a+2b=190
a+b=95
21 Oct 2013, 09:09
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AccipiterQ
No. 2a and 2b-10 are opposite angles. Opposite angles are equal.
Attachment:
Vertical_Angles.svg.png [ 4.87 KiB | Viewed 11569 times ]
