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# In the figure above m is parallel to n, and p is parallel to q. Which

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Math Expert
Joined: 02 Sep 2009
Posts: 54440
In the figure above m is parallel to n, and p is parallel to q. Which  [#permalink]

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08 Aug 2017, 01:50
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15% (low)

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81% (01:40) correct 19% (02:07) wrong based on 47 sessions

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In the figure above m is parallel to n, and p is parallel to q. Which of the following is equal to x?

(A) 180 – a
(B) b
(C) c
(D) d
(E) 90 – e

Attachment:

2017-08-08_1250.png [ 13.53 KiB | Viewed 1225 times ]

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Re: In the figure above m is parallel to n, and p is parallel to q. Which  [#permalink]

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08 Aug 2017, 01:56
Bunuel wrote:

In the figure above m is parallel to n, and p is parallel to q. Which of the following is equal to x?

(A) 180 – a
(B) b
(C) c
(D) d
(E) 90 – e

Attachment:
2017-08-08_1250.png

From the diagram
x = b
triangle with x has d and c as other angles
B
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Luckisnoexcuse
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Joined: 22 May 2016
Posts: 2647
In the figure above m is parallel to n, and p is parallel to q. Which  [#permalink]

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08 Aug 2017, 14:28
Bunuel wrote:

In the figure above m is parallel to n, and p is parallel to q. Which of the following is equal to x?

(A) 180 – a
(B) b
(C) c
(D) d
(E) 90 – e

Attachment:
2017-08-08_1250.png

x is congruent to an alternate interior angle where line p intersects line n. Call it angle z.

Angles z and b are congruent corresponding angles.

x = z = b

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Re: In the figure above m is parallel to n, and p is parallel to q. Which  [#permalink]

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09 Aug 2017, 20:49
x=b
Angle formed with line p intersecting line n is equal to b.
Thus x equals b.

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Re: In the figure above m is parallel to n, and p is parallel to q. Which   [#permalink] 09 Aug 2017, 20:49
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