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31 Jul 2020, 02:51
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E
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Difficulty:
55%
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Question Stats:
69% (02:39) correct
31%
(02:38)
wrong
based on 90
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[GMAT math practice question]
The figure shows that lines \(l\) and \(m\) are parallel to each other. What is the measure of \(∠x\)?
7.31ps.png [ 19.7 KiB | Viewed 3321 times ]
A. \(95^o\)
B. \(100^o\)
C. \(112^o\)
D. \(117^o\)
E. \(122^o\)
The figure shows that lines \(l\) and \(m\) are parallel to each other. What is the measure of \(∠x\)?
Attachment:
7.31ps.png [ 19.7 KiB | Viewed 3321 times ]
A. \(95^o\)
B. \(100^o\)
C. \(112^o\)
D. \(117^o\)
E. \(122^o\)
yashikaaggarwal
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31 Jul 2020, 03:18
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In triangle DEF,
Angle DFE + Angle DEF = 105° (exterior angle)
Also, angle DFE = 180-168 (supplement angle) and (opposite angles) = 12°
So.
Angle DFE + Angle DEF = 105°
12 + Angle DEF = 105
Angle DEF = 93°
Also Line AE is a transversal on parallel lines l and m
Angle DEF = Angle CAL = 93
Angle CAB = 180-93 = 87
In triangle ABC
Angle CAB + Angle CBA (opposite angle to 35°) = Angle X (exterior angle)
87 + 35 = X
X = 122.
Answer is E
Posted from my mobile device
Angle DFE + Angle DEF = 105° (exterior angle)
Also, angle DFE = 180-168 (supplement angle) and (opposite angles) = 12°
So.
Angle DFE + Angle DEF = 105°
12 + Angle DEF = 105
Angle DEF = 93°
Also Line AE is a transversal on parallel lines l and m
Angle DEF = Angle CAL = 93
Angle CAB = 180-93 = 87
In triangle ABC
Angle CAB + Angle CBA (opposite angle to 35°) = Angle X (exterior angle)
87 + 35 = X
X = 122.
Answer is E
Posted from my mobile device
Attachments
IMG_20200731_154147.jpg [ 40.88 KiB | Viewed 3175 times ]
31 Jul 2020, 10:12
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MathRevolution
We can create a hexagon by closing the parallel lines. The sum of inner angles in a hexagon is 360 + 180 + 180, we can remove 180 from the two angles we created then subtract the rest of the angles. 540 - 145 - 105 - 168 = 540 - 418 = 122.
Ans: E
Attachments
hexagon.png [ 29.61 KiB | Viewed 3102 times ]
