We know that sum of all angles of a triangle = 180
The angles are in A.P., so let the angles be a, a+d, a+2d
so, we get 3a + 3d = 180
i.e., a + d = 60. this implies d = 60 - a
It is given that the least being half of the greatest .
So, a = 1/2[a + 2d]
or, 2a = a + 2(60 - a)
or, 2a = 120 - a
or, a = 40
so, d = 60 - 40 = 20
Thus, the three angles are 40, 60, 80.
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