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The measure of 3 is 105°.
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01 Aug 2022, 00:40
01 Aug 2022, 00:40
1
Expert Reply
00:00
Question Stats:
72% (00:29) correct
27% (00:14) wrong based on 22 sessions
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Attachment:
GRE lines (3).jpg [ 20.38 KiB | Viewed 1465 times ]
The measure of ∠3 is 105°.
Quantity A |
Quantity B |
the measure of ∠6 |
77° |
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
The measure of 3 is 105°.
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20 Aug 2022, 15:11
20 Aug 2022, 15:11
1
Expert Reply
OE
Quote:
Angles 3 and 6 are same side interior angles, which means that
they are supplementary. Since the measure of ∠3 is 105°, the
measure of ∠6 must be 180° − 105° = 75°; 77° > 75°, so column
B is greater. The answer is b.
they are supplementary. Since the measure of ∠3 is 105°, the
measure of ∠6 must be 180° − 105° = 75°; 77° > 75°, so column
B is greater. The answer is b.
Re: The measure of 3 is 105°.
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26 Aug 2022, 08:25
26 Aug 2022, 08:25
1
Solution -
The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. Here, <3 and <6 are consecutive interior angles, which add up to 180 degrees.
Screenshot 2022-08-26 at 10.00.09 PM.png [ 238.07 KiB | Viewed 1077 times ]
Therefore, if <3 = 105 degree, then <6 will be 75 degree (as 75 + 105 = 180 degree)
Hence, Quantity B is greater than Quantity A.
Correct Answer B
The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. Here, <3 and <6 are consecutive interior angles, which add up to 180 degrees.
Attachment:
Screenshot 2022-08-26 at 10.00.09 PM.png [ 238.07 KiB | Viewed 1077 times ]
Therefore, if <3 = 105 degree, then <6 will be 75 degree (as 75 + 105 = 180 degree)
Hence, Quantity B is greater than Quantity A.
Correct Answer B
