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The difference between two angles of a triangle is 24°.The average

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The difference between two angles of a triangle is 24°.The average [#permalink]

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New post 19 Apr 2017, 12:47
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:17) correct 31% (01:05) wrong based on 17 sessions

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The difference between two angles of a triangle is 24°.The average of the same two angles is 54°
Which of the following is the value of the greatest angle of the triangle?

A)42
B)60
C)66
D)72
E)108



Source=> NOVA.
[Reveal] Spoiler: OA

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Re: The difference between two angles of a triangle is 24°.The average [#permalink]

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New post 19 Apr 2017, 14:01
Let a+b+c=180
Given a-b=24
Given (a+b)/2= 54 ==> a+b=108
Hence c=72
2a=132
a=66
b=42

Answer is D)72
Re: The difference between two angles of a triangle is 24°.The average   [#permalink] 19 Apr 2017, 14:01
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The difference between two angles of a triangle is 24°.The average

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