Question

The angles of Triangles are in the AP. the greatest angle is twice the least.find all the angles??​

Answer 1

Answer:

40° , 60° and 80°

Let angles of triangle be

a - d , a , a + d

Sum of angles

$a - d + a + a + d = 180 \\ 3a = 180 \\ a = 60$

And

$a + d = 2(a - d) \\ a + d = 2a - 2d \\ 3d = a = 60 \\ d = 20$

So other angles will be

$a - d = 60 - 20 = 40 \\ a + d = 60 + 20 = 80$