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In the figure shown, what is the value of X ?
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25 Feb 2017, 09:32
25 Feb 2017, 09:32
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Question Stats:
90% (01:02) correct
9% (01:54) wrong based on 141 sessions
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#GREpracticequestion In the figure shown, what is the value of X.jpg [ 12.03 KiB | Viewed 56111 times ]
In the figure shown, what is the value of X ?
X = Enter your value
Show: :: OA
160 °
Re: In the figure shown, what is the value of X ?
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04 Mar 2017, 18:01
04 Mar 2017, 18:01
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Expert Reply
Explanation
To help with discussion, we have labeled points on the figure.
Start with triangle ACF. Angle A is 90° and angle C is 30°, so angle AFC must be 60° (180° – 90° – 30° = 60°).
If AFC is 60°, then EFD must be 120° (180° – 60° = 120°).
Now you can find angle FDE, which we have called angle z: (180° – 120° – 40° = 20°). If z = 20°, then x = 160°, because x + z = 180°.
Hence x x = 160°.
di new.jpg [ 17.45 KiB | Viewed 100164 times ]
di new1.jpg [ 17.99 KiB | Viewed 100322 times ]
di new2.jpg [ 18.88 KiB | Viewed 100084 times ]
di new3.jpg [ 19.44 KiB | Viewed 100105 times ]
To help with discussion, we have labeled points on the figure.
Start with triangle ACF. Angle A is 90° and angle C is 30°, so angle AFC must be 60° (180° – 90° – 30° = 60°).
If AFC is 60°, then EFD must be 120° (180° – 60° = 120°).
Now you can find angle FDE, which we have called angle z: (180° – 120° – 40° = 20°). If z = 20°, then x = 160°, because x + z = 180°.
Hence x x = 160°.
Show: :: Img
Attachment:
di new.jpg [ 17.45 KiB | Viewed 100164 times ]
Attachment:
di new1.jpg [ 17.99 KiB | Viewed 100322 times ]
Attachment:
di new2.jpg [ 18.88 KiB | Viewed 100084 times ]
Attachment:
di new3.jpg [ 19.44 KiB | Viewed 100105 times ]
General Discussion
Re: In the figure shown, what is the value of X ?
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20 Jan 2019, 18:23
20 Jan 2019, 18:23
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Tricky
