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

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

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New post 01 Aug 2017, 09:28
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A
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C
D
E

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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


[Reveal] Spoiler:
Attachment:
2017-08-01_2025_001.png
2017-08-01_2025_001.png [ 13.76 KiB | Viewed 502 times ]
[Reveal] Spoiler: OA

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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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New post 01 Aug 2017, 10:25
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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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Kudos [?]: 597 [0], given: 16

Re: In the figure above, line m is parallel to line n. Which of the follow   [#permalink] 01 Aug 2017, 10:25
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