The angles of a triangle are in A.P. The greatest angle is twice the least. Find all the angles

Explanation

Let angles of the triangle be a-d, a, a+d.
`:. A-d+a+a+d=180^(@)`
`rArr 3a=180^(@) rArr a=60^(@)`
and `a+D=a(a-d)`
`rArr 60^(@)+d=2(60^(@)-d)`
`rArr 60^(@)+d=120^(@)-2d`
`rArr 3d=60^(@) rArr d=20^(@)`
`:. A-d=60^(@)-20^(@)=40^(@)`
`a+d=60^(@)+20^(@)=80^(@)`
`:.` Three angles of triangle are `40^(@),60^(@),80^(@)`.