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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]  16 Jan 2016, 03:44
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Question Stats:

87% (00:39) correct 12% (00:59) wrong based on 80 sessions
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#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

Practice Questions
Question: 13
Page: 333
Difficulty: medium
[Reveal] Spoiler: OA

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Founder
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Kudos [?]: 3028 [0], given: 11304

Re: In the ﬁgure above, if m ||  k and s = t + 30, then t = [#permalink]  16 Jan 2016, 03:47
Expert's post
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]  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

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

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

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Re: In the ﬁgure above, if m ||  k and s = t + 30, then t = [#permalink]  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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