Question

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

Answer 1

║⊕ANSWER⊕║

Let three angles be a,a+d,a+2d

If they are in AP,

a+a+d+a+2d=180.

Therefore, a+d=60.

also, given that a+2d=2a

Hence, a=2d

Therefore, 3d=60 and d=20.

and a=60-d=60-20=40

therefore, 1st angle is a =40

2nd is a+d=40+20=60

3rd is a+2d=40+40=80