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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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16 Feb 2022, 04:00
16 Feb 2022, 04:00
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Question Stats:
80% (02:01) correct
19% (01:58) wrong based on 21 sessions
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In the figure below, if L1// L2, what is z in terms of x and y?
GRE In the figure below, if L1 L2.jpg [ 22.84 KiB | Viewed 2636 times ]
(A) 2x - y
(B) 360 - 2x - 2y
(C) 360 - x - y
(D) x - y
(E) y - x
Attachment:
GRE In the figure below, if L1 L2.jpg [ 22.84 KiB | Viewed 2636 times ]
(A) 2x - y
(B) 360 - 2x - 2y
(C) 360 - x - y
(D) x - y
(E) y - x
Re: In the figure below, if L1// L2, what is z in terms of x and y? PUBL
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16 Feb 2022, 05:51
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
\(2(x+y) + a = 360\)
\(a=360-2(x+y)\) ♦
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.
\(2(x+y) + a = 360\)
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.
In the figure below, if L1// L2, what is z in terms of x and y? PUBL
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05 Nov 2022, 03:16
05 Nov 2022, 03:16
1
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
since external angle = sum of opposite internal angles,
y = x + z
z = y - x, hence E
