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All lines are straight and intersect as shown.
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21 Jul 2022, 01:20
21 Jul 2022, 01:20
Expert Reply
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Question Stats:
57% (00:35) correct
42% (00:59) wrong based on 21 sessions
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All lines are straight and intersect as shown.
GRE lines (2).jpg [ 28.17 KiB | Viewed 2666 times ]
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
Attachment:
GRE lines (2).jpg [ 28.17 KiB | Viewed 2666 times ]
Quantity A |
Quantity B |
c |
a+b |
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
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
All lines are straight and intersect as shown.
[#permalink]
26 Jul 2022, 06:45
26 Jul 2022, 06:45
1
Solution -
Screenshot 2022-07-26 at 8.09.58 PM.png [ 175.02 KiB | Viewed 2553 times ]
Firstly, we are marking the triangle as ABC ( see the image )
Now, <a°= <BAC because vertically opposite angles are equal. (see the image)
Therefore, <ABC+ <BAC+ <ACB =180° (Angles in a triangle sum to 180°)
=> <b°+ <a°+ <ACB=180°
=> <a°+ <b° = 180° - <ACB (This is Quantity B)
Now, let us look at Quantity A,
We know that a straight line has an angle of 180°
Hence, <c°= 180° - <ACB (This is Quantity A)
So, Quantity A = Quantity B
The correct answer is Option C.
Attachment:
Screenshot 2022-07-26 at 8.09.58 PM.png [ 175.02 KiB | Viewed 2553 times ]
Firstly, we are marking the triangle as ABC ( see the image )
Now, <a°= <BAC because vertically opposite angles are equal. (see the image)
Therefore, <ABC+ <BAC+ <ACB =180° (Angles in a triangle sum to 180°)
=> <b°+ <a°+ <ACB=180°
=> <a°+ <b° = 180° - <ACB (This is Quantity B)
Now, let us look at Quantity A,
We know that a straight line has an angle of 180°
Hence, <c°= 180° - <ACB (This is Quantity A)
So, Quantity A = Quantity B
The correct answer is Option C.
General Discussion
Re: All lines are straight and intersect as shown.
[#permalink]
25 Jul 2022, 03:27
25 Jul 2022, 03:27
Expert Reply
