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

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Bunuel
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If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 01:30
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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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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 02:42
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Extend line and make two triangles

X is 150

(E) is the correct answer

Bunuel wrote:

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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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 03:33
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If in the figure above, l1 and l2 are parallel

Draw a line between l1 and l2 that is parallel to both the lines.

Center angle gets divided into two parts , upper angle 50 and lower angle 30
Alternate angle opposite to 30 is 30
Supplement of 30 is 150 which is the desired value of x.

IMO E
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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 04:20
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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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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 08:02
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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 wrote:

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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TarunKumar1234
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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 10:37
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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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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink] New post  08 Jul 2021, 23:38
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Bunuel wrote:

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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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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Re: If in the figure above, l1 and l2 are parallel, what is x? [#permalink]
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