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

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Math Expert
Joined: 02 Sep 2009
Posts: 50621
In the ﬁgure above, if m||k and s = t + 30, then t =  [#permalink]

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16 Jul 2018, 20:12
00:00

Difficulty:

(N/A)

Question Stats:

91% (00:28) correct 9% (01:28) wrong based on 22 sessions

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

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

Attachment:

0nJKKhY.jpg [ 3.48 KiB | Viewed 422 times ]

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Director
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Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)
Re: In the ﬁgure above, if m||k and s = t + 30, then t =  [#permalink]

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16 Jul 2018, 21:28
Bunuel wrote:

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

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

Attachment:
0nJKKhY.jpg

Given, m||k and s = t + 30

We have, s+t=180 (m||k; hence alternate angles are equal)
Or, t+30+t=180
Or, 2t=150
Or, t=75

Ans. (C)
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Joined: 30 Jan 2015
Posts: 617
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Re: In the ﬁgure above, if m||k and s = t + 30, then t =  [#permalink]

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16 Jul 2018, 23:04
+1 for C.

Since the lines are ||
s + t = 180 (Property of angles of parallel lines)
s = t + 30 (Given)

Substituting the value:
t + 30 + t = 180
2t = 150
t = 75

Hence, C.
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Director
Joined: 31 Oct 2013
Posts: 786
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In the ﬁgure above, if m||k and s = t + 30, then t =  [#permalink]

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17 Jul 2018, 03:40
Bunuel wrote:

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

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

Attachment:
0nJKKhY.jpg

s = t+30.

So,

t+t+30 = 180

2t = 150

t = 75.

Thus the best answer is C.
Re: In the ﬁgure above, if m||k and s = t + 30, then t = &nbs [#permalink] 17 Jul 2018, 03:40
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