Question

The measures of the angles of the triangles
are in A.P. The smallest angle is 40°. Find the
angles of the triangle in degree and in
radians.​

Answer 1

Step-by-step explanation:

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

given that a -d = 40°

adding all angles of a triangle

a-d + a + a +d =180°

3a = 180°

a= 60°

so we get d = 20

so all angles are 40°, 60° , 80°

Answer 2

Answer:

let the angles of the triangle be a-d ,a,a+d in degrees

  =a-d+a+a+d=180

  =3 a =180

 =a=60

also smallest angle is 40

a-d=40

60-d=40

d=20

now, a+d=60+20=80

hence the angles are 40,60,80 degrees

and after conversion of degrees  into radians

we get 2 pie/9  , pie/3 and 4 pie/9