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In the figure below, if L1// L2, what is z in terms of x and y? PUBL

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In the figure below, if L1// L2, what is z in terms of x and y? PUBL [#permalink] New post   16 Feb 2022, 04:00
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In the figure below, if L1// L2, what is z in terms of x and y?

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GRE In the figure below, if L1 L2.jpg
GRE In the figure below, if L1 L2.jpg [ 22.84 KiB | Viewed 2202 times ]


(A) 2x - y
(B) 360 - 2x - 2y
(C) 360 - x - y
(D) x - y
(E) y - x
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E
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Re: In the figure below, if L1// L2, what is z in terms of x and y? PUBL [#permalink] New post   16 Feb 2022, 05:51
1
Let the missing angle in the outer angle be a. Now since l1 is parallel to l2, hence the missing angle in the inner figure is a as well corresponding angles when a transversal cuts through two parallel lines are equal

2(x+y)+a=360
Quote:
Sum of all the angles in a quadrilateral

a=360−2(x+y) ♦

Now if we sum all the angles of the outer figure we have:-
z+3x+y+a=360
Putting a as highlighted by the equation in the diamond above:
z=y-x

Hence option E is the correct answer.
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In the figure below, if L1// L2, what is z in terms of x and y? PUBL [#permalink] New post   05 Nov 2022, 03:16
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if you extend the line going vertically from 2x to y, you will see that the external angle of the triangle that z and x are part of = y due to the parallel lines
since external angle = sum of opposite internal angles,
y = x + z
z = y - x, hence E
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Re: In the figure below, if L1// L2, what is z in terms of x and y? PUBL [#permalink] New post   06 Jun 2024, 03:52
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the figure below, if L1// L2, what is z in terms of x and y? PUBL [#permalink]
06 Jun 2024, 03:52
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