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In the figure below, if line Li and L2 are parallel and L3 is a bisect
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03 Oct 2022, 02:48
03 Oct 2022, 02:48
Expert Reply
00:00
Question Stats:
64% (01:37) correct
35% (02:23) wrong based on 14 sessions
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In the figure below, if line \(L_1\) and \(L_2\) are parallel and \(L_3\) is a bisector of an angle ABC, what is the value of x in terms of y and z?
GRe angles (3).jpg [ 19.73 KiB | Viewed 1507 times ]
(A) y - 2z
(B) y - z
(C) 180 - y + z
(D) 180 - y - z
(E) 2z - y
Attachment:
GRe angles (3).jpg [ 19.73 KiB | Viewed 1507 times ]
(A) y - 2z
(B) y - z
(C) 180 - y + z
(D) 180 - y - z
(E) 2z - y
Part of the Skill Builder Project
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GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
Re: In the figure below, if line Li and L2 are parallel and L3 is a bisect
[#permalink]
31 Oct 2022, 11:45
31 Oct 2022, 11:45
Expert Reply
Isolate one triangle and find the measures of all of its angles using the properties of parallel lines. In this case, use the uppermost one: Since
x+y=2z,
x+y+(180- 2z)= 180
x+y- 2z=0,
so x=-y + 2z.
x+y=2z,
x+y+(180- 2z)= 180
x+y- 2z=0,
so x=-y + 2z.
gmatclubot
Re: In the figure below, if line Li and L2 are parallel and L3 is a bisect [#permalink]
31 Oct 2022, 11:45
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