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DEF is a triangle such that the measure of angle D is 45°. T
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27 Sep 2019, 08:23
27 Sep 2019, 08:23
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DEF is a triangle such that the measure of angle D is 45°. The measure of angle F is twice the measure of angle E.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
Measure of \(\angle D\) |
Measure of \(\angle E\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: DEF is a triangle such that the measure of angle D is 45°. T
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30 Sep 2019, 00:40
30 Sep 2019, 00:40
1
By question,
There is a triangle.
Sides are \(45-x-2x\) where \(x\) is the measure of angle E and \(2x\) is the measure of angle F.
We know sum of angles in a triangle add to 180 degrees therefore,
\(45+3x = 180\)
or, \(3x = 135\)
or, \(x = 45\)
Hence, angle D = angle E
There is a triangle.
Sides are \(45-x-2x\) where \(x\) is the measure of angle E and \(2x\) is the measure of angle F.
We know sum of angles in a triangle add to 180 degrees therefore,
\(45+3x = 180\)
or, \(3x = 135\)
or, \(x = 45\)
Hence, angle D = angle E
gmatclubot
Re: DEF is a triangle such that the measure of angle D is 45°. T [#permalink]
30 Sep 2019, 00:40
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