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A convex polygon has 5 sides. This polygon also has three right angle
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03 Aug 2022, 23:05
03 Aug 2022, 23:05
Expert Reply
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Question Stats:
65% (01:20) correct
34% (01:03) wrong based on 26 sessions
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A convex polygon has 5 sides. This polygon also has three right angles and two congruent angles.
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
Quantity A |
Quantity B |
the measure of one of the congruent angles |
130° |
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
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: A convex polygon has 5 sides. This polygon also has three right angle
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22 Aug 2022, 11:01
22 Aug 2022, 11:01
Expert Reply
OE
Quote:
The formula S = 180(n − 2) can be used to determine that the
sum of the interior angles of this polygon is 540. Right angles
measure 90° each, so subtracting the sum of the three right
angles from 540° leaves 270° for the two remaining congruent
angles. Congruent angles are angles with equal measures, so
dividing 270°/2 yields 135° for each angle, which is larger than the
value in column B (130°). The answer, therefore, is a.
sum of the interior angles of this polygon is 540. Right angles
measure 90° each, so subtracting the sum of the three right
angles from 540° leaves 270° for the two remaining congruent
angles. Congruent angles are angles with equal measures, so
dividing 270°/2 yields 135° for each angle, which is larger than the
value in column B (130°). The answer, therefore, is a.
Re: A convex polygon has 5 sides. This polygon also has three right angle
[#permalink]
15 Sep 2023, 04:44
15 Sep 2023, 04:44
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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