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The measure of 2 is 65°.
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03 Aug 2022, 00:55
03 Aug 2022, 00:55
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The measure of ∠2 is 65°.
Quantity A |
Quantity B |
110° |
the measure of ∠11 |
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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
Re: The measure of 2 is 65°.
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20 Aug 2022, 12:32
20 Aug 2022, 12:32
Expert Reply
OE
Quote:
∠2 and ∠11 have no direct relationship upon first glance.
However, there are two sets of parallel lines in this diagram
(lines a and b, and lines c and d) so there are many related angles
to work with. ∠2 and ∠3 are same side exterior angles along
transversal c and therefore are supplementary. So the measure
of ∠3 is 180° − 65° = 115°. Angles 3 and 11 are corresponding
angles (along transversal b and both above the parallel lines c
and d) and so are congruent. So the measure of ∠11 is also
115°, which is greater than column A. The answer is b.
However, there are two sets of parallel lines in this diagram
(lines a and b, and lines c and d) so there are many related angles
to work with. ∠2 and ∠3 are same side exterior angles along
transversal c and therefore are supplementary. So the measure
of ∠3 is 180° − 65° = 115°. Angles 3 and 11 are corresponding
angles (along transversal b and both above the parallel lines c
and d) and so are congruent. So the measure of ∠11 is also
115°, which is greater than column A. The answer is b.
gmatclubot
Re: The measure of 2 is 65°. [#permalink]
20 Aug 2022, 12:32
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