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Draw l3 that is both parallel to l1 and l2.
Angle 80 can be split into 50 (above) and 30 (below).
Hence, x + 30 = 180 => x = 150 (E)
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sum of interior angle of any n sided polygon = 180*(n-2)
here draw a line perpendicular joining l1 and l2
we get a polygon so sum of interior angle would be 180*3 ; 540
540 = 130+80+90+90+x
x= 150
option E


Bunuel

If in the figure above, l1 and l2 are parallel, what is x?

A. 105°
B. 110°
C. 120°
D. 140°
E. 150°

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Sum of internal angles = (n-2)*180 = (5-2)*180 = 540

Now, 80 +x +130 + 180 = 540 or, x = 150.

So, I think E. :)
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Bunuel

If in the figure above, l1 and l2 are parallel, what is x?

A. 105°
B. 110°
C. 120°
D. 140°
E. 150°

Project PS Butler


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https://gmatclub.com/forum/download/file.php?id=61854

Join L1 and L2.
Sum of angles of a 5-sided polygon = 540
130 + 80 + 180 + x = 540
x = 150 (E), IMO!
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