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In the figure above, if m ||  k and s = t + 30, then t =

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In the figure above, if m ||  k and s = t + 30, then t = [#permalink] New post 16 Jan 2016, 03:44
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#GREpracticequestion In the figure above, if m.jpg
#GREpracticequestion In the figure above, if m.jpg [ 3.48 KiB | Viewed 2882 times ]



In the figure above, if \(m \parallel k\) and \(s = t + 30\), then \(t =\)

A. 30

B. 60

C. 75

D. 80

E. 105

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Page: 333
Difficulty: medium
[Reveal] Spoiler: OA

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Re: In the figure above, if m ||  k and s = t + 30, then t = [#permalink] New post 16 Jan 2016, 03:47
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Solution

We do know that the lines are || so \(s+t=180\) AND \(s=t+30\)

Substitue we do have : \(t+30+t=180\) which means that \(2t=150\). So \(t=75\)

The amswer is \(C\)
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Re: In the figure above, if m ||  k and s = t + 30, then t = [#permalink] New post 28 Mar 2019, 06:07
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Carcass wrote:
Attachment:
#GREpracticequestion In the figure above, if m.jpg


In the figure above, if \(m \parallel k\) and \(s = t + 30\), then \(t =\)

A. 30
B. 60
C. 75
D. 80
E. 105


Since lines m and k are PARALLEL, the transversal creates the following EQUAL angles
Image



So, we can see that the angle shown below (in blue) is also
Image


Since angles s° and t° are on the same line, we know that: s° + t° = 180°
Since we're told that s = t + 30, we get: (t + 30)° + t° = 180°
Simplify: 2t + 30 = 180
So: 2t = 150
Solve: t = 150/2 = 75

Answer: C

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Re: In the figure above, if m ||  k and s = t + 30, then t = [#permalink] New post 07 Jul 2020, 01:50
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t+30+t=180
t=75

HP- C
Re: In the figure above, if m ||  k and s = t + 30, then t =   [#permalink] 07 Jul 2020, 01:50
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In the figure above, if m ||  k and s = t + 30, then t =

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