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The measure of 1 is 100°.
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01 Aug 2022, 00:38
01 Aug 2022, 00:38
Expert Reply
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Question Stats:
96% (00:26) correct
3% (00:17) wrong based on 33 sessions
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Attachment:
GRE lines (3).jpg [ 20.38 KiB | Viewed 4186 times ]
The measure of ∠1 is 100°.
Quantity A |
Quantity B |
the measure of ∠8 |
75° |
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 Quantitative Comparison GEOMETRY - Special Summer Edition (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: The measure of 1 is 100°.
[#permalink]
02 Aug 2022, 08:33
02 Aug 2022, 08:33
2
Solution -
When any two parallel lines are intersected by a line (known as the transversal), the angles that are subsequently formed, have a relationship.
Screenshot 2022-08-02 at 9.54.30 PM.png [ 608.68 KiB | Viewed 4585 times ]
From this particular figure, <1 + <2 = 180 degree ( Angles on a straight line add up to 180 degree)
Also, <2 = <6 = 80 degrees (Corresponding Angles are equal)
Lastly, <6 = <8 = 80 degrees (Vertically Opposite Angles are equal)
Therefore, Quantity A is 80 degrees and Quantity B is 75 degrees.
So, Quantity A is greater than Quantity B.
Hence, the correct answer choice is option A.
When any two parallel lines are intersected by a line (known as the transversal), the angles that are subsequently formed, have a relationship.
Attachment:
Screenshot 2022-08-02 at 9.54.30 PM.png [ 608.68 KiB | Viewed 4585 times ]
From this particular figure, <1 + <2 = 180 degree ( Angles on a straight line add up to 180 degree)
Also, <2 = <6 = 80 degrees (Corresponding Angles are equal)
Lastly, <6 = <8 = 80 degrees (Vertically Opposite Angles are equal)
Therefore, Quantity A is 80 degrees and Quantity B is 75 degrees.
So, Quantity A is greater than Quantity B.
Hence, the correct answer choice is option A.
General Discussion
Re: The measure of 1 is 100°.
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25 Aug 2022, 10:52
25 Aug 2022, 10:52
when did it stated that those lines were parallel?
