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Lines m and n intersect to the right of the picture.

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CAMANISHPARMAR
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Lines m and n intersect to the right of the picture. [#permalink] New post   20 Jan 2019, 18:41
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Lines m and n intersect to the right of the picture.

Quantity A
Quantity B
x
36


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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A
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akingba
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Re: Lines m and n intersect to the right of the picture. [#permalink] New post   23 Jan 2019, 19:57
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Since the lines intersect to the right, we know that the resulting area is a triangle, which interior angles must sum up to 180 degrees.

the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.

To find the third angle: (180-2x) + (180-3x) + Y = 180

thus Y = 180 - [(180-2x) + (180-3x)]

Y=5x-180

We Know that y can't be -ve or 0, so 5x>180

5x>180

X>36

Answer is A
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Zamala
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Re: Lines m and n intersect to the right of the picture. [#permalink] New post   Updated on: 24 Jan 2019, 02:50
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Since the lines intersect to the right, we know that the resulting area is a triangle, which interior angles must sum up to 180 degrees.

the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.

To find the third angle: (180-2x) + (180-3x) + Y = 180

thus Y = 180 - [(180-2x) + (180-3x)]

....

2x + 3x >180 (since we know, that the vertex on the right must have an angle larger than 0, in order to make a triangle.
x > 36.

The answer should be A.

Edited Answer, thanks to the @CAMANISHPARMAR and @akingba
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Originally posted by Zamala on 23 Jan 2019, 08:09.
Last edited by Zamala on 24 Jan 2019, 02:50, edited 1 time in total.
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CAMANISHPARMAR
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Re: Lines m and n intersect to the right of the picture. [#permalink] New post   23 Jan 2019, 21:22
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Zamala wrote:
Since the lines intersect to the right, we know that the resulting area is a triangle, which interior angles must sum up to 180 degrees.

the adjacent angle of 2x is (180-2x), since an angle on a line is 180 degrees.
the adjacent angle of 3x is (180-3x), since an angle on a line is 180 degrees.

To find the third angle: (180-2x) + (180-3x) + Y = 180

thus Y = 180 - [(180-2x) + (180-3x)]

....

2x + 3x = 180
x = 36.

The answer should be C.


The answer (i.e. option A) is correct...try again!!
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chetan2u
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Re: Lines m and n intersect to the right of the picture. [#permalink] New post   23 Jan 2019, 22:10
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CAMANISHPARMAR wrote:
Lines m and n intersect to the right of the picture.

Quantity A : x

Quantity B : 36

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The attachment Nice Q.jpg is no longer available



Three cases..
(1) when line m is parallel to line l.
2x+3x=180.......5x=180...x=36
(2) when line m is NOT parallel to line l and they intersect on the right side
2x+3x>180.......5x>180...x>36
(2)when line m is NOT parallel to line l but they intersect on the left side ..
2x+3x<180.......5x<180...x<36

Our case is case II, so x>36..
A
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Re: Lines m and n intersect to the right of the picture. [#permalink] New post   31 May 2024, 18:09
Hello from the GRE Prep Club BumpBot!

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Re: Lines m and n intersect to the right of the picture. [#permalink]
31 May 2024, 18:09
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