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A certain triangle has angles such that the ratio of the angles A:B:C
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01 Aug 2022, 00:09
01 Aug 2022, 00:09
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A certain triangle has angles such that the ratio of the angles A:B:C =1:3:5. Four times the measure of angle B is
A 12˚
B 36˚
C 80˚
D 240˚
E 400˚
A 12˚
B 36˚
C 80˚
D 240˚
E 400˚
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (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: A certain triangle has angles such that the ratio of the angles A:B:C
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08 Aug 2022, 05:02
08 Aug 2022, 05:02
Expert Reply
Re: A certain triangle has angles such that the ratio of the angles A:B:C
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09 Aug 2022, 08:22
09 Aug 2022, 08:22
1
A:B:C = 1:3:5
Let x be common multiplier.
Therefore,
A = x
B = 3x
C = 5x
We know, sum of all the angles of a triangle is 180.
A + B + C = 180
9x = 180
x = 20
Since, B = 3x = 60
But we are required to give 4 times of B, which is 60 * 4 = 240.
Option D is the correct answer.
Let x be common multiplier.
Therefore,
A = x
B = 3x
C = 5x
We know, sum of all the angles of a triangle is 180.
A + B + C = 180
9x = 180
x = 20
Since, B = 3x = 60
But we are required to give 4 times of B, which is 60 * 4 = 240.
Option D is the correct answer.
