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The figure is a parallelogram.
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03 Aug 2022, 23:12
03 Aug 2022, 23:12
Expert Reply
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Question Stats:
87% (00:25) correct
12% (00:19) wrong based on 8 sessions
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Attachment:
GRE parallelogram (2).jpg [ 10.55 KiB | Viewed 2009 times ]
The figure is a parallelogram.
Quantity A |
Quantity B |
the measure of ∠A |
the measure of ∠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 Quantitative Comparison GEOMETRY - Special Summer Edition (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: The figure is a parallelogram.
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22 Aug 2022, 11:00
22 Aug 2022, 11:00
Expert Reply
OE
Quote:
This diagram shows a parallelogram. Opposite angles in a
parallelogram are always congruent, so the measure of ∠B is
equal to the measure of ∠D, which is indicated as 50°.
Consecutive angles in a parallelogram are supplementary, so the
measure of ∠A = 180° − m∠B, or 180° − 50° = 130°. Since
130° > 50°, ∠A > ∠B, so the answer is a.
parallelogram are always congruent, so the measure of ∠B is
equal to the measure of ∠D, which is indicated as 50°.
Consecutive angles in a parallelogram are supplementary, so the
measure of ∠A = 180° − m∠B, or 180° − 50° = 130°. Since
130° > 50°, ∠A > ∠B, so the answer is a.
gmatclubot
Re: The figure is a parallelogram. [#permalink]
22 Aug 2022, 11:00
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