Question

The anglea of a traingle are in ap and the greatest angle is double the least what is the ratio of angles in the radian measure

Answer 1

Answer:

Step-by-step explanation:

let the least angle be x.

the angles are x,x+d,x+2d

greatest angle=2x

x+x+d+x+2d=180

3x+3d=180

x+d=60

x+d-x=x+2d-x-d

x+d-x=2x-x-d

d=x-d

2d=x

d=x/2

x+d=60

x+x/2=60

x=60*2/3

x=40

d=20

the angles are 40,60 and 80

in radian the angles are 40(pi)/180,60(pi)/180 and 80(pi)/180

ratio of angles =40(pi)/180 : 60(pi)/180 : 80(pi)/180

                        =40:60:80

                        =2:3:4