Geometry - Hard- Gmat Prep

[lazarogb]

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


OA C
The official answer is very tricky, I would like to know if anyone can come up with a simple solution.

Thanks!

[GMATGuruNY]

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


OA C

Use reason. Here are the roads:



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



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.

[lazarogb]

Wow!

That is so much easier than I imagined.

Thanks a lot Mitch!