Question

the angles of a triangle are in ap . the greatest angle is twice the leASt .find all the angles

Answer 1

let one of the angle of triangle be a

other angle would be a+d and a+2d

given :-a+2d =2a

=>a =2d

∴sum of angle of triangle=180

=>a + a+d + a+2d =180

=>3a +3d = 180

=>3(2d) +3d =180

=>6d +3d = 180

=>9d =180

=>d=20

angles of the triangle are

a =2d =40°

a+2d =40+40=80°

a+d=40+20 =60°