Question

(i) The angles of a triangle are in A.P., the greatest of them being 80°; find all the three
angles in radian.​

Answer 1

Step-by-step explanation:

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

a-d+a+a+d = 180 (ASP)

3a = 180

a = 60 ......(1)

given that a+d = 80

so,

a+d-a=80-60

d=20

so, angles are:

a-d= 40

a= 60

a+d= 80

1 degree = 0.0175 radians

so, 40d = 0.7 radians

60d = 1.05 radians

80d = 1.4 radians