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In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
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02 Oct 2018, 11:20
02 Oct 2018, 11:20
Expert Reply
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Question Stats:
42% (00:29) correct
57% (01:46) wrong based on 14 sessions
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Attachment:
circle.jpg [ 55.23 KiB | Viewed 3930 times ]
In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?
(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
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02 Oct 2018, 21:43
02 Oct 2018, 21:43
solution pls??
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
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03 Oct 2018, 13:08
03 Oct 2018, 13:08
1
Expert Reply
Move in the counterclock direction and add the angles to get the angle between two lines. Refer to the figure below:
Inkedcircle_LI.jpg [ 349.47 KiB | Viewed 3871 times ]
For example line e to d is 40 degree and line e to c is 40 + 55 =95 degrees. So if we keep on adding the angles and get to a number of 180 degrees then those two lines would be parallel.
For example angles between line A and F is = 30+35+32+45+36=178. Not parallel
Now start the same thing for B and go till line G = 40+30+35+32+45=182 Not parallel
..
..
Between E and J = 40+35+35+40+30=180 Parallel
Hence E.
No need to keep on adding after 180 is reached. Any line beyond 180 will not be parallel.
Attachment:
Inkedcircle_LI.jpg [ 349.47 KiB | Viewed 3871 times ]
For example line e to d is 40 degree and line e to c is 40 + 55 =95 degrees. So if we keep on adding the angles and get to a number of 180 degrees then those two lines would be parallel.
For example angles between line A and F is = 30+35+32+45+36=178. Not parallel
Now start the same thing for B and go till line G = 40+30+35+32+45=182 Not parallel
..
..
Between E and J = 40+35+35+40+30=180 Parallel
Hence E.
No need to keep on adding after 180 is reached. Any line beyond 180 will not be parallel.
