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In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle.

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Senior Manager
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In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle.  [#permalink]

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New post 29 Sep 2016, 03:29
1
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00:00
A
B
C
D
E

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  95% (hard)

Question Stats:

42% (02:01) correct 58% (01:28) wrong based on 48 sessions

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In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each others?
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Re: in the figure, a,b,c,d,f,g,h,i, and j are chords of the circle. Which  [#permalink]

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New post 29 Sep 2016, 03:39
I can solve this problem by using the concept: two lines are parallel to each other when swept between them is 180 degree. What's the easiest way to solve this problem, expert?
Thanks...
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Re: In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle.  [#permalink]

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New post 24 Dec 2016, 01:43
Has anyone solved this question? If so pse enlighten with the approach. Thanks
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Re: In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle.  [#permalink]

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New post 14 Apr 2018, 10:19
This is my concept to solve this problem.

bring all the chords together as if they will originate from center. sum of angles = 360

now for two chords to be parallel, the angle between must be 180 degrees.

Angle between j and a = 30
Angle between a and b = 40
Angle between b and c = 40
Angle between c and d = 35
Angle between d and e = 35
summing we get 180 degrees, so J and E are parallel to each other, as angle between them is 180
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Re: In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle.  [#permalink]

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New post 20 Apr 2018, 02:45
Knowing that the angles between the 2 chords have to sum to 180 degrees, my shortcut was to dismiss any pair of chords with a "dangling" 32 degrees angle in between. Because to sum up to 180 which is a mutiple of 10, you need and 8 to add to the 2 from the 32. If that 8 is missing, no way for the angles to sum and round to 180. So I quickly eliminated options A, B and C.
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Re: In the figure, a, b, c, d, f, g, h, i, and j are chords of the circle. &nbs [#permalink] 20 Apr 2018, 02:45
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