Question

the angles of atriangle are in Ap the greater anglw is twice the least to find all the angle of the triangle​

Answer 1

Step-by-step explanation:

Let the angles in AP be x+d,x,x-d (where 'd' is common difference).

We know that sum of angles in triangle is 180.

so x+x+d+x-d=180

3x=180

{x=60}

So 60+d,60,60-d are angles of triangle.

But given that larger angle is twice the smaller angle.

So 2(60-d)=60+d

120-2d=60+d

-3d=60-120

{d=20}

So angles are 60+20 ,60 ,60-20

angles are

{80 ,60,40}.