The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1:120. Find the angles in radians

Explanation

Suppose the angles of the triangle be `(a – d)^°, a^°` and `(a + d)^°`.


As we know that, the sum of the angles of a triangle is `180^°`.


`a – d + a + a + d = 180^°`


`3a = 180^° a = 60^°`


Given as


The number of degrees in the least angle/The number of degrees in the mean angle = `1/120`


`(a - d)/a = 1/120`


`(60 - d)/60 = 1/120`


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