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# In the figure above, line m is parallel to line n. Which of the follow

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Math Expert
Joined: 02 Sep 2009
Posts: 55274
In the figure above, line m is parallel to line n. Which of the follow  [#permalink]

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01 Aug 2017, 09:28
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Difficulty:

15% (low)

Question Stats:

79% (00:42) correct 21% (00:42) wrong based on 34 sessions

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In the figure above, line m is parallel to line n. Which of the following pairs of angles have equal measures?

I. 1 and 4
II. 3 and 8
III. 5 and 7

(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II and III

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2017-08-01_2025_001.png [ 13.76 KiB | Viewed 1066 times ]

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Re: In the figure above, line m is parallel to line n. Which of the follow  [#permalink]

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01 Aug 2017, 10:25

In the above figure
1 and 7 are supplementary angles, because the lines m and n are parallel.
Also, angles 4 and 7 are supplementary as angles along a straight line add to 180.
We can conclude 1 = 4

3 and 8 are corresponding angles(as m || n)
Also, 5 and 7 are adjacent angles.
To prove the same, as we know angles in a straight line equal 180 degree
Angle 5 + 4 = 180 = 4 + 7

From the above information, I, II and III all have equal measures.
Hence, Option E is our correct answer.
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Re: In the figure above, line m is parallel to line n. Which of the follow  [#permalink]

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18 May 2019, 23:11
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Re: In the figure above, line m is parallel to line n. Which of the follow   [#permalink] 18 May 2019, 23:11
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