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The measure of 3 is 100°.
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01 Aug 2022, 00:42
01 Aug 2022, 00:42
Expert Reply
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Question Stats:
81% (00:29) correct
18% (00:21) wrong based on 16 sessions
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The measure of ∠3 is 100°.
Quantity A |
Quantity B |
the measure of ∠4 |
the measure of ∠8 |
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 3 is 100°.
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20 Aug 2022, 15:04
20 Aug 2022, 15:04
Expert Reply
OE
Quote:
∠3 and ∠4 are supplementary angles, so the sum of their
measures must add up to 180°. Therefore the measure of
∠4 = 180° − 100° = 80°; ∠3 and ∠8 are vertical angles and
therefore congruent, so the measure of ∠8 = 100°; 100° > 80°,
so the measure of ∠8 is larger than the measure of ∠4 and the
answer is b.
measures must add up to 180°. Therefore the measure of
∠4 = 180° − 100° = 80°; ∠3 and ∠8 are vertical angles and
therefore congruent, so the measure of ∠8 = 100°; 100° > 80°,
so the measure of ∠8 is larger than the measure of ∠4 and the
answer is b.
gmatclubot
Re: The measure of 3 is 100°. [#permalink]
20 Aug 2022, 15:04
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