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21 Jul 2016, 05:06
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A
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Difficulty:
15%
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Question Stats:
89% (02:27) correct
11%
(01:58)
wrong
based on 103
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In triangle ABC below, angle BAE measures 30 degrees. What is the value of angle AED minus angle ABE?
A) 30
B) 60
C) 90
D) 120
E) 150
Attachment:
act-triangle.jpg [ 32.03 KiB | Viewed 7407 times ]
21 Jul 2016, 06:11
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AED = EAB + ABE (Exterior angle is equal to sum of interior opposite angles) --> AED - ABE = EAB = 30
Alternatively,
ABE = 150 - AEB
AEB = 180 - AED
ABE = 150 - (180 - AED)
ABE = AED - 30
AED - ABE = 30
Answer: A
Alternatively,
ABE = 150 - AEB
AEB = 180 - AED
ABE = 150 - (180 - AED)
ABE = AED - 30
AED - ABE = 30
Answer: A
21 Jul 2016, 10:02
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Vyshak
Vyshak Please correct the highlighted part...
if one follow figure
angle 3=angle 2+angle 1(ext. angle property)
as angle 1= 30 (given)
angle 3-angle 2=angle 1---->30
or AED-ABE=30
Ans A
Attachments
act-triangle.jpg [ 29.03 KiB | Viewed 6395 times ]
