Question

The angles of a triangle are in A.P., the least being half the greatest. Find the angles.​

Answer 1

Answer:

Hence the required answer is 40 degrees , 60 degrees and 80 degrees . 40 , 60 and 80 are in AP , with commoon difference 20 . Here also , 80 = 2 × 40 ie the greatest angle 80 degree is double of the least angle 40 degree

Answer 2

Answer:

40,60,80

Step-by-step explanation:

the angles are in AP

let the angles be a-d,a,a+d

the sum of the angles is 180

a-d+a+a+d=180

3a=180

a=60

the least being half the greatest

so a-d=(a+d)/2

60-d+60+(60-d)2=180

60-d+60+120-2d=180

240-3d=180

60=3d

d=20

so the remaining angles will be 40,60,80