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DEf is a triangle
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20 Feb 2024, 01:52
20 Feb 2024, 01:52
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Question Stats:
87% (01:28) correct
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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) 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.
The measure of angle F is twice the measure of angle E
Quantity A |
Quantity B |
Measure of angle D |
Measure of angle E |
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.
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Re: DEf is a triangle
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20 Feb 2024, 09:46
20 Feb 2024, 09:46
1
Let x = the measure of angle E.
Since the measure of angle F is twice the measure of angle E, the measure of angle F = 2x.
The angles of a triangle add up to 180,
so x+2x+45 = 180
and x = 45.
Therefore, the measure of angle E is 45, which is the same as the measure of angle D.
Since the measure of angle F is twice the measure of angle E, the measure of angle F = 2x.
The angles of a triangle add up to 180,
so x+2x+45 = 180
and x = 45.
Therefore, the measure of angle E is 45, which is the same as the measure of angle D.
gmatclubot
Re: DEf is a triangle [#permalink]
20 Feb 2024, 09:46
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