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20 Jun 2024, 13:38
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
87% (00:27) correct
12% (01:09) wrong based on 8 sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, if m|k and s = t + 30, then t =
A. 30
B. 60
C. 75
D. 80
E. 105
GMAT-Club-Forum-rtkhg838.jpeg [ 10.67 KiB | Viewed 213 times ]
In the figure above, if m|k and s = t + 30, then t =
A. 30
B. 60
C. 75
D. 80
E. 105
Attachment:
GMAT-Club-Forum-rtkhg838.jpeg [ 10.67 KiB | Viewed 213 times ]
19 Oct 2024, 10:26
Kudos
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OE
When trying to solve a geometric problem, it is often helpful to add any known information to the figure. Since corresponding angles have equal measures, you could place two more angle measures on the figure, as shown below.
Now, from the figure, you can see that s + t = 180. Therefore, since it is given that s = t + 30, you can substitute t + 30 for s into the equation s + t = 180 and get that (t + 30) + t = 180, which can be simplified as follows.
(t+30)+t=180
2t=150
t=75
The correct answer is Choice C.
1.jpg [ 13.25 KiB | Viewed 690 times ]
When trying to solve a geometric problem, it is often helpful to add any known information to the figure. Since corresponding angles have equal measures, you could place two more angle measures on the figure, as shown below.
Now, from the figure, you can see that s + t = 180. Therefore, since it is given that s = t + 30, you can substitute t + 30 for s into the equation s + t = 180 and get that (t + 30) + t = 180, which can be simplified as follows.
(t+30)+t=180
2t=150
t=75
The correct answer is Choice C.
Attachment:
1.jpg [ 13.25 KiB | Viewed 690 times ]
