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# In the figure above, m and n are parallel straight lines. If s = t + 3

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Joined: 02 Sep 2009
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In the figure above, m and n are parallel straight lines. If s = t + 3  [#permalink]

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01 Aug 2017, 09:41
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88% (00:42) correct 13% (01:06) wrong based on 13 sessions

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In the figure above, m and n are parallel straight lines. If s = t + 30, then t =

(A) 30
(B) 60
(C) 75
(D) 80
(E) 105

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2017-08-01_2039.png [ 4.7 KiB | Viewed 484 times ]

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Re: In the figure above, m and n are parallel straight lines. If s = t + 3  [#permalink]

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01 Aug 2017, 09:57
Quote:

Since m || n, angle of line m is also t(corresponding angles)
We know that the sum of angles on a straight line is 180 degree.

s + t = 180
But we are given s = t+30
So, 2t + 30 = 180
2t = 150
t = 75(Option C)
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In the figure above, m and n are parallel straight lines. If s = t + 3  [#permalink]

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01 Aug 2017, 11:37
Because the 2 lines are parallel we know that the angle next to s is t. Therefore s+t=180

Now we have 2 equations 2 unknowns, s+t=180 and s=t+30 => s=180-t, now substitute in the 2nd equation for s and we get the following: 180-t=t+30 => 2t=150 => t=75

In the figure above, m and n are parallel straight lines. If s = t + 3   [#permalink] 01 Aug 2017, 11:37
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# In the figure above, m and n are parallel straight lines. If s = t + 3

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