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# Lines m and n are parallel. What is the value of y?

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Math Expert
Joined: 02 Sep 2009
Posts: 54440
Lines m and n are parallel. What is the value of y?  [#permalink]

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08 Aug 2017, 01:42
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Difficulty:

15% (low)

Question Stats:

96% (00:55) correct 4% (00:35) wrong based on 42 sessions

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Lines m and n are parallel. What is the value of y?

(A) 130
(B) 135
(C) 145
(D) 150
(E) 160

Attachment:

2017-08-08_1241.png [ 7.55 KiB | Viewed 3798 times ]

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Re: Lines m and n are parallel. What is the value of y?  [#permalink]

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08 Aug 2017, 02:11

Since m || n, 2x = 60 degree(angles are supplementary)
Therefore, x = 30
Therefore the third angle in the triangle is 30(since the sum of angles in a triangle is 180 degree)

y + 30 = 180(sum of angles in a straight line is 180)
y = 150(Option D)
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Re: Lines m and n are parallel. What is the value of y?  [#permalink]

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10 Aug 2017, 11:30
Bunuel wrote:

Lines m and n are parallel. What is the value of y?

(A) 130
(B) 135
(C) 145
(D) 150
(E) 160

Attachment:
2017-08-08_1241.png

Since we have two parallel lines and a transversal, 2x = 180 - 120 = 60, or x = 30.

Thus, the top left angle of the triangle is 180 - 150 = 30, so angle y is 180 - 30 = 150.

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Re: Lines m and n are parallel. What is the value of y?   [#permalink] 10 Aug 2017, 11:30
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