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

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Current Student
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
The difference between two angles of a triangle is 24°.The average  [#permalink]

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19 Apr 2017, 13:47
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:40) correct 25% (01:35) wrong based on 18 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.

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Joined: 24 Apr 2016
Posts: 333
Re: The difference between two angles of a triangle is 24°.The average  [#permalink]

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19 Apr 2017, 15:01
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

Re: The difference between two angles of a triangle is 24°.The average &nbs [#permalink] 19 Apr 2017, 15:01
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