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05 Jan 2023, 08:09
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D
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Difficulty:
25%
(medium)
Question Stats:
83% (01:45) correct
17%
(01:52)
wrong
based on 24
sessions
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Time
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Not Attempted Yet
In the figure, AB is parallel to CD. ∠x is 130° and ∠y is 150°. What is the value of ∠z?
A. 110
B. 100
C. 90
D. 80
E. 60
Attachment:
2023-01-05_19-07-05.png [ 11.03 KiB | Viewed 1714 times ]
05 Jan 2023, 12:34
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Bunuel
\(\angle PRQ = 180 - z\)
\(\angle PQR = 180 - x\)
\(\angle RTS = 180 - y\)
\(\angle RTS = \angle RPQ = 180-y\) (alternate angles)
In \(\triangle PQR\)
\(180 - z + 180 - x + 180 - z = 180\)
\(360 - (y + x) = z\)
\(z = 360 - 280\)
\(z = 80\)
Option D
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Screenshot 2023-01-06 005918.jpg [ 17.96 KiB | Viewed 1476 times ]
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