Question

the angle of a triangle are in A.P.if the greatest angle is double the least ,find the angles. ​

Answer 1

Answer:

40° , 60° , 70°

Step-by-step explanation:

Let A.P. be " a-d, a , a+d ."

So,

a+d = 2(a-d) [ according to question]

a+d = 2a-2d

a-2a = -2d-d

-a = -3d

i.e. a = 3d

So,

A.P. is 2d,3d,4d

Now,

2d+3d+4d = 180° [angle sum property]

9d = 180°

i.e. d = 20°

So,

Angles of triangle are 40° , 60° , 80° .