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the measure of an angle supplementary to BOC
[#permalink]
27 Jul 2022, 01:18
27 Jul 2022, 01:18
Expert Reply
00:00
Question Stats:
75% (00:50) correct
25% (00:50) wrong based on 12 sessions
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Quantity A |
Quantity B |
the measure of an angle supplementary to ∠BOC |
the measure of an angle supplementary to ∠FOE |
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: the measure of an angle supplementary to BOC
[#permalink]
27 Jul 2022, 14:23
27 Jul 2022, 14:23
Expert Reply
OE
Quote:
Supplementary angles are angles whose measure adds up to
180°. The diagram does not directly indicate the measures of
angles BOC and FOE, but it does give enough information to
find these measures using subtraction:
∠BOC = ∠AOC − ∠AOB
∠BOC = 70° − 20°
∠BOC = 50°
∠FOE = ∠FOA − ∠EOA
∠FOE = 180° − 135°
∠FOE = 45°
∠BOC = 50°, so its supplement must equal 180° − 50°, or 130°.
∠FOE = 45°, so its supplement must equal 180° − 45°, or 135°.
The supplement to ∠FOE is larger, so the answer is b.
180°. The diagram does not directly indicate the measures of
angles BOC and FOE, but it does give enough information to
find these measures using subtraction:
∠BOC = ∠AOC − ∠AOB
∠BOC = 70° − 20°
∠BOC = 50°
∠FOE = ∠FOA − ∠EOA
∠FOE = 180° − 135°
∠FOE = 45°
∠BOC = 50°, so its supplement must equal 180° − 50°, or 130°.
∠FOE = 45°, so its supplement must equal 180° − 45°, or 135°.
The supplement to ∠FOE is larger, so the answer is b.
gmatclubot
Re: the measure of an angle supplementary to BOC [#permalink]
27 Jul 2022, 14:23
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