An angle of a triangle is equal to the sum of the other two angles. Also, one of the angles is one-third of the largest angle, find the angles of the triangle.
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Let the largest angle be 'a' and smallest be 'c'
a+b+c = 180 [sum property of angles of a traingle]
Given, a = (b+c)
c = 1/4 a
a = b + a/4
a - a/4 = b
b = 3a/4
a + 3a/4 + a/4 = 180
a + a = 180
2a = 180
a = 90
b = 3a/4 = 67.5
c = a/4 = 22.5
Hence angles are 90 , 67.5 , 22.5
Hope it helps.
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