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Source: — Data Sufficiency |
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by GMATGuruNY » Mon Dec 02, 2013 4:56 am
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. What is the value of t?

1) r=140

2) s=160
Use reason. Here are the roads:

Image

Now imagine that we SQUEEZE together the edges of the roads so that the width of each road is negligible:

Image

The figure above shows that r+s+t = 360.
Thus, when the statements are combined, t=360-140-160 = 60.

The correct answer is C.
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by Neilsheth2 » Fri Oct 09, 2015 10:09 pm
Hello Mitch,
I understood your solution but the only problem I face is since we are given the roads are of some width they would be taking some amount of space. What if the width is too much . When you squeezed the diagram you are assuming the width is negligible. But we havent been given anything.

I am missing here something need your help
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by GMATGuruNY » Sat Oct 10, 2015 1:33 am
Neilsheth2 wrote:Hello Mitch,
I understood your solution but the only problem I face is since we are given the roads are of some width they would be taking some amount of space. What if the width is too much . When you squeezed the diagram you are assuming the width is negligible. But we havent been given anything.

I am missing here something need your help
Image

As the figure above illustrates, the two sides of the road form congruent angles.
For this reason, the width of the road can be ignored.
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